Abstract

We discovered that boundary conditions can stabilize nonlocal solitons with an oscillatory periodic response function. These solitons are the equivalent of quadratic solitons consisting of fundamental waves and oscillatory second harmonics, which are unstable unless subject to boundary confinement.

© 2014 Optical Society of America

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  1. W. Królikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
    [CrossRef]
  2. M. Mitchell, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 80, 4657 (1998).
    [CrossRef]
  3. C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
    [CrossRef]
  4. C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
    [CrossRef]
  5. M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature 432, 733 (2004).
    [CrossRef]
  6. W. Hu, T. Zhang, Q. Guo, L. Xuan, and S. Lan, Appl. Phys. Lett. 89, 071111 (2006).
    [CrossRef]
  7. C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
    [CrossRef]
  8. B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
    [CrossRef]
  9. A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
    [CrossRef]
  10. C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 102, 083902 (2009).
    [CrossRef]
  11. C. R. Rosberg, F. H. Bennet, D. N. Neshev, P. D. Rasmussen, O. Bang, W. Krolikowski, A. Bjarklev, and Y. S. Kivshar, Opt. Express 15, 12145 (2007).
    [CrossRef]
  12. P. D. Rasmussen, F. H. Bennet, D. N. Neshev, A. A. Sukhorukov, C. R. Rosberg, W. Krolikowski, O. Bang, and Y. S. Kivshar, Opt. Lett. 34, 295 (2009).
    [CrossRef]
  13. S. Skupin, M. Saffman, and W. Królikowski, Phys. Rev. Lett. 98, 263902 (2007).
    [CrossRef]
  14. P. Pedri and L. Santos, Phys. Rev. Lett. 95, 200404 (2005).
    [CrossRef]
  15. I. Tikhonenkov, B. A. Malomed, and A. Vardi, Phys. Rev. Lett. 100, 090406 (2008).
    [CrossRef]
  16. D. Briedis, D. E. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, Opt. Express 13, 435 (2005).
    [CrossRef]
  17. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Express 15, 9378 (2007).
    [CrossRef]
  18. C. Rotschild, M. Segev, Z. Y. Xu, Y. V. Kartashov, L. Torner, and O. Cohen, Opt. Lett. 31, 3312 (2006).
    [CrossRef]
  19. Z. Y. Xu, Y. V. Kartashov, and L. Torner, Opt. Lett. 30, 3171 (2005).
    [CrossRef]
  20. D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 98, 053901 (2007).
    [CrossRef]
  21. D. Deng and Q. Guo, Opt. Lett. 32, 3206 (2007).
    [CrossRef]
  22. D. Deng, X. Zhao, Q. Guo, and S. Lan, J. Opt. Soc. Am. B 24, 2537 (2007).
    [CrossRef]
  23. Y. V. Izdebskaya, A. S. Desyatnikov, and Y. S. Kivshar, Phys. Rev. Lett. 111, 123902 (2013).
    [CrossRef]
  24. Q. Shou, X. Zhang, W. Hu, and Q. Guo, Opt. Lett. 36, 4194 (2011).
    [CrossRef]
  25. D. Q. Lu, W. Hu, Y. J. Zheng, Y. B. Liang, L. G. Cao, S. Lan, and Q. Guo, Phys. Rev. A 78, 043815 (2008).
    [CrossRef]
  26. O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
    [CrossRef]
  27. N. I. Nikolov, D. Neshev, O. Bang, and W. Z. Królikowski, Phys. Rev. E 68, 036614 (2003).
    [CrossRef]
  28. P. V. Larsen, M. P. Sørensen, O. Bang, W. Z. Królikowski, and S. Trillo, Phys. Rev. E 73, 036614 (2006).
    [CrossRef]
  29. M. Bache, O. Bang, J. Moses, and F. W. Wise, Opt. Lett. 32, 2490 (2007).
    [CrossRef]
  30. M. Bache, O. Bang, W. Krolikowski, J. Moses, and F. W. Wise, Opt. Express 16, 3273 (2008).
    [CrossRef]
  31. A. V. Buryak and Y. S. Kivshar, Phys. Lett. A 197, 407 (1995).
    [CrossRef]
  32. B. K. Esbensen, M. Bache, W. Krolikowski, and O. Bang, Phys. Rev. A 86, 023849 (2012).
    [CrossRef]
  33. Y. N. Karamzin and A. P. Sukhorukov, JETP Lett. 20, 339 (1974).
  34. Y. N. Karamzin and A. P. Sukhorukov, Sov. Phys. JETP 41, 414 (1976).
  35. M. J. Werner and P. D. Drummond, J. Opt. Soc. Am. B 10, 2390 (1993).
    [CrossRef]
  36. K. Hayata and M. Koshiba, Phys. Rev. Lett. 71, 3275 (1993).
    [CrossRef]
  37. Y. V. Kartashov, B. A. Malomed, and L. Torner, Rev. Mod. Phys. 83, 247 (2011).
    [CrossRef]

2013 (1)

Y. V. Izdebskaya, A. S. Desyatnikov, and Y. S. Kivshar, Phys. Rev. Lett. 111, 123902 (2013).
[CrossRef]

2012 (1)

B. K. Esbensen, M. Bache, W. Krolikowski, and O. Bang, Phys. Rev. A 86, 023849 (2012).
[CrossRef]

2011 (2)

Q. Shou, X. Zhang, W. Hu, and Q. Guo, Opt. Lett. 36, 4194 (2011).
[CrossRef]

Y. V. Kartashov, B. A. Malomed, and L. Torner, Rev. Mod. Phys. 83, 247 (2011).
[CrossRef]

2009 (2)

2008 (3)

I. Tikhonenkov, B. A. Malomed, and A. Vardi, Phys. Rev. Lett. 100, 090406 (2008).
[CrossRef]

D. Q. Lu, W. Hu, Y. J. Zheng, Y. B. Liang, L. G. Cao, S. Lan, and Q. Guo, Phys. Rev. A 78, 043815 (2008).
[CrossRef]

M. Bache, O. Bang, W. Krolikowski, J. Moses, and F. W. Wise, Opt. Express 16, 3273 (2008).
[CrossRef]

2007 (8)

2006 (4)

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef]

W. Hu, T. Zhang, Q. Guo, L. Xuan, and S. Lan, Appl. Phys. Lett. 89, 071111 (2006).
[CrossRef]

C. Rotschild, M. Segev, Z. Y. Xu, Y. V. Kartashov, L. Torner, and O. Cohen, Opt. Lett. 31, 3312 (2006).
[CrossRef]

P. V. Larsen, M. P. Sørensen, O. Bang, W. Z. Królikowski, and S. Trillo, Phys. Rev. E 73, 036614 (2006).
[CrossRef]

2005 (4)

Z. Y. Xu, Y. V. Kartashov, and L. Torner, Opt. Lett. 30, 3171 (2005).
[CrossRef]

D. Briedis, D. E. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, Opt. Express 13, 435 (2005).
[CrossRef]

P. Pedri and L. Santos, Phys. Rev. Lett. 95, 200404 (2005).
[CrossRef]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

2004 (3)

W. Królikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef]

2003 (2)

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

N. I. Nikolov, D. Neshev, O. Bang, and W. Z. Królikowski, Phys. Rev. E 68, 036614 (2003).
[CrossRef]

2002 (1)

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

1998 (1)

M. Mitchell, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 80, 4657 (1998).
[CrossRef]

1995 (1)

A. V. Buryak and Y. S. Kivshar, Phys. Lett. A 197, 407 (1995).
[CrossRef]

1993 (2)

M. J. Werner and P. D. Drummond, J. Opt. Soc. Am. B 10, 2390 (1993).
[CrossRef]

K. Hayata and M. Koshiba, Phys. Rev. Lett. 71, 3275 (1993).
[CrossRef]

1976 (1)

Y. N. Karamzin and A. P. Sukhorukov, Sov. Phys. JETP 41, 414 (1976).

1974 (1)

Y. N. Karamzin and A. P. Sukhorukov, JETP Lett. 20, 339 (1974).

Alfassi, B.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef]

Assanto, G.

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

Bache, M.

Bang, O.

B. K. Esbensen, M. Bache, W. Krolikowski, and O. Bang, Phys. Rev. A 86, 023849 (2012).
[CrossRef]

P. D. Rasmussen, F. H. Bennet, D. N. Neshev, A. A. Sukhorukov, C. R. Rosberg, W. Krolikowski, O. Bang, and Y. S. Kivshar, Opt. Lett. 34, 295 (2009).
[CrossRef]

M. Bache, O. Bang, W. Krolikowski, J. Moses, and F. W. Wise, Opt. Express 16, 3273 (2008).
[CrossRef]

M. Bache, O. Bang, J. Moses, and F. W. Wise, Opt. Lett. 32, 2490 (2007).
[CrossRef]

C. R. Rosberg, F. H. Bennet, D. N. Neshev, P. D. Rasmussen, O. Bang, W. Krolikowski, A. Bjarklev, and Y. S. Kivshar, Opt. Express 15, 12145 (2007).
[CrossRef]

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef]

P. V. Larsen, M. P. Sørensen, O. Bang, W. Z. Królikowski, and S. Trillo, Phys. Rev. E 73, 036614 (2006).
[CrossRef]

D. Briedis, D. E. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, Opt. Express 13, 435 (2005).
[CrossRef]

W. Królikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

N. I. Nikolov, D. Neshev, O. Bang, and W. Z. Królikowski, Phys. Rev. E 68, 036614 (2003).
[CrossRef]

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

Bennet, F. H.

Bjarklev, A.

Briedis, D.

Buccoliero, D.

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 98, 053901 (2007).
[CrossRef]

Buryak, A. V.

A. V. Buryak and Y. S. Kivshar, Phys. Lett. A 197, 407 (1995).
[CrossRef]

Cao, L. G.

D. Q. Lu, W. Hu, Y. J. Zheng, Y. B. Liang, L. G. Cao, S. Lan, and Q. Guo, Phys. Rev. A 78, 043815 (2008).
[CrossRef]

Carmon, T.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

Christodoulides, D. N.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef]

M. Mitchell, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 80, 4657 (1998).
[CrossRef]

Cohen, O.

C. Rotschild, M. Segev, Z. Y. Xu, Y. V. Kartashov, L. Torner, and O. Cohen, Opt. Lett. 31, 3312 (2006).
[CrossRef]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

Conti, C.

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 102, 083902 (2009).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

De Luca, A.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef]

Deng, D.

Desyatnikov, A. S.

Y. V. Izdebskaya, A. S. Desyatnikov, and Y. S. Kivshar, Phys. Rev. Lett. 111, 123902 (2013).
[CrossRef]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 98, 053901 (2007).
[CrossRef]

Dreischuh, A.

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef]

Drummond, P. D.

Edmundson, D.

D. Briedis, D. E. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, Opt. Express 13, 435 (2005).
[CrossRef]

W. Królikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

Esbensen, B. K.

B. K. Esbensen, M. Bache, W. Krolikowski, and O. Bang, Phys. Rev. A 86, 023849 (2012).
[CrossRef]

Fratalocchi, A.

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 102, 083902 (2009).
[CrossRef]

Guo, Q.

Q. Shou, X. Zhang, W. Hu, and Q. Guo, Opt. Lett. 36, 4194 (2011).
[CrossRef]

D. Q. Lu, W. Hu, Y. J. Zheng, Y. B. Liang, L. G. Cao, S. Lan, and Q. Guo, Phys. Rev. A 78, 043815 (2008).
[CrossRef]

D. Deng, X. Zhao, Q. Guo, and S. Lan, J. Opt. Soc. Am. B 24, 2537 (2007).
[CrossRef]

D. Deng and Q. Guo, Opt. Lett. 32, 3206 (2007).
[CrossRef]

W. Hu, T. Zhang, Q. Guo, L. Xuan, and S. Lan, Appl. Phys. Lett. 89, 071111 (2006).
[CrossRef]

Hayata, K.

K. Hayata and M. Koshiba, Phys. Rev. Lett. 71, 3275 (1993).
[CrossRef]

Hu, W.

Q. Shou, X. Zhang, W. Hu, and Q. Guo, Opt. Lett. 36, 4194 (2011).
[CrossRef]

D. Q. Lu, W. Hu, Y. J. Zheng, Y. B. Liang, L. G. Cao, S. Lan, and Q. Guo, Phys. Rev. A 78, 043815 (2008).
[CrossRef]

W. Hu, T. Zhang, Q. Guo, L. Xuan, and S. Lan, Appl. Phys. Lett. 89, 071111 (2006).
[CrossRef]

Izdebskaya, Y. V.

Y. V. Izdebskaya, A. S. Desyatnikov, and Y. S. Kivshar, Phys. Rev. Lett. 111, 123902 (2013).
[CrossRef]

Karamzin, Y. N.

Y. N. Karamzin and A. P. Sukhorukov, Sov. Phys. JETP 41, 414 (1976).

Y. N. Karamzin and A. P. Sukhorukov, JETP Lett. 20, 339 (1974).

Kartashov, Y. V.

Kivshar, Y. S.

Y. V. Izdebskaya, A. S. Desyatnikov, and Y. S. Kivshar, Phys. Rev. Lett. 111, 123902 (2013).
[CrossRef]

P. D. Rasmussen, F. H. Bennet, D. N. Neshev, A. A. Sukhorukov, C. R. Rosberg, W. Krolikowski, O. Bang, and Y. S. Kivshar, Opt. Lett. 34, 295 (2009).
[CrossRef]

C. R. Rosberg, F. H. Bennet, D. N. Neshev, P. D. Rasmussen, O. Bang, W. Krolikowski, A. Bjarklev, and Y. S. Kivshar, Opt. Express 15, 12145 (2007).
[CrossRef]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 98, 053901 (2007).
[CrossRef]

A. V. Buryak and Y. S. Kivshar, Phys. Lett. A 197, 407 (1995).
[CrossRef]

Koshiba, M.

K. Hayata and M. Koshiba, Phys. Rev. Lett. 71, 3275 (1993).
[CrossRef]

Krolikowski, W.

B. K. Esbensen, M. Bache, W. Krolikowski, and O. Bang, Phys. Rev. A 86, 023849 (2012).
[CrossRef]

P. D. Rasmussen, F. H. Bennet, D. N. Neshev, A. A. Sukhorukov, C. R. Rosberg, W. Krolikowski, O. Bang, and Y. S. Kivshar, Opt. Lett. 34, 295 (2009).
[CrossRef]

M. Bache, O. Bang, W. Krolikowski, J. Moses, and F. W. Wise, Opt. Express 16, 3273 (2008).
[CrossRef]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 98, 053901 (2007).
[CrossRef]

C. R. Rosberg, F. H. Bennet, D. N. Neshev, P. D. Rasmussen, O. Bang, W. Krolikowski, A. Bjarklev, and Y. S. Kivshar, Opt. Express 15, 12145 (2007).
[CrossRef]

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef]

D. Briedis, D. E. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, Opt. Express 13, 435 (2005).
[CrossRef]

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

Królikowski, W.

S. Skupin, M. Saffman, and W. Królikowski, Phys. Rev. Lett. 98, 263902 (2007).
[CrossRef]

W. Królikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

Królikowski, W. Z.

P. V. Larsen, M. P. Sørensen, O. Bang, W. Z. Królikowski, and S. Trillo, Phys. Rev. E 73, 036614 (2006).
[CrossRef]

N. I. Nikolov, D. Neshev, O. Bang, and W. Z. Królikowski, Phys. Rev. E 68, 036614 (2003).
[CrossRef]

Lan, S.

D. Q. Lu, W. Hu, Y. J. Zheng, Y. B. Liang, L. G. Cao, S. Lan, and Q. Guo, Phys. Rev. A 78, 043815 (2008).
[CrossRef]

D. Deng, X. Zhao, Q. Guo, and S. Lan, J. Opt. Soc. Am. B 24, 2537 (2007).
[CrossRef]

W. Hu, T. Zhang, Q. Guo, L. Xuan, and S. Lan, Appl. Phys. Lett. 89, 071111 (2006).
[CrossRef]

Larsen, P. V.

P. V. Larsen, M. P. Sørensen, O. Bang, W. Z. Królikowski, and S. Trillo, Phys. Rev. E 73, 036614 (2006).
[CrossRef]

Liang, Y. B.

D. Q. Lu, W. Hu, Y. J. Zheng, Y. B. Liang, L. G. Cao, S. Lan, and Q. Guo, Phys. Rev. A 78, 043815 (2008).
[CrossRef]

Lu, D. Q.

D. Q. Lu, W. Hu, Y. J. Zheng, Y. B. Liang, L. G. Cao, S. Lan, and Q. Guo, Phys. Rev. A 78, 043815 (2008).
[CrossRef]

Malomed, B. A.

Y. V. Kartashov, B. A. Malomed, and L. Torner, Rev. Mod. Phys. 83, 247 (2011).
[CrossRef]

I. Tikhonenkov, B. A. Malomed, and A. Vardi, Phys. Rev. Lett. 100, 090406 (2008).
[CrossRef]

Manela, O.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

Mitchell, M.

M. Mitchell, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 80, 4657 (1998).
[CrossRef]

Moses, J.

Neshev, D.

W. Królikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

N. I. Nikolov, D. Neshev, O. Bang, and W. Z. Królikowski, Phys. Rev. E 68, 036614 (2003).
[CrossRef]

Neshev, D. N.

Nikolov, N. I.

W. Królikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

N. I. Nikolov, D. Neshev, O. Bang, and W. Z. Królikowski, Phys. Rev. E 68, 036614 (2003).
[CrossRef]

Peccianti, M.

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 102, 083902 (2009).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

Pedri, P.

P. Pedri and L. Santos, Phys. Rev. Lett. 95, 200404 (2005).
[CrossRef]

Petersen, D. E.

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef]

D. Briedis, D. E. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, Opt. Express 13, 435 (2005).
[CrossRef]

Rasmussen, J. J.

W. Królikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

Rasmussen, P. D.

Rosberg, C. R.

Rotschild, C.

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Figures (3)

Fig. 1.
Fig. 1.

(a) Soliton width w for ϕ1 versus sample size l, when α=0.25 and Ts=4π. (b)–(f) Soliton profiles for different sample sizes corresponding to points 1–5 in picture (a). The dashed–dotted frames represent the irreducible soliton zone.

Fig. 2.
Fig. 2.

(a)–(c) Soliton width, w, for ϕ1 versus α when l=34.567. Dashed lines show the values of Ts. (d) and (e) The profiles of the quadratic solitons correspond to the points 1-2 in picture (b). (f) The profile of the quadratic soliton corresponds to the point in picture (c). The dashed–dotted frames represent the irreducible soliton zones.

Fig. 3.
Fig. 3.

Simulation of solitons consisting of fundamental waves [(a)–(c)] and second harmonics [(d)–(f)], based on Eqs. (1) and (2). The soliton parameters are given in Table 1.

Tables (1)

Tables Icon

Table 1. Parameters for Simulations of Soliton Propagation in Fig. 3, Where s1=s2=1

Equations (9)

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iE1z+d12E1x2+E1*E2eiβz=0,
iE2z+d22E2x2+E12eiβz=0,
s12ϕ1τ2ϕ1+ϕ1ϕ2=0,
s22ϕ2τ2αϕ2+12ϕ12=0,
ϕ2=12αR(τξ)ϕ12(ξ)dξ.
R˜(kτ)=1/(1+sσ2kτ2),
R(τ)=sin(|τ|/σ)/(2σ),
ϕ2=12αl1l2R(τ,τ)ϕ12(τ)dτ,
R(τ,τ)={sin[(τl1)/σ]sin[(τl2)/σ]σsin(l/σ),l1ττ,sin[(τl1)/σ]sin[(τl2)/σ]σsin(l/σ),ττl2.

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