Abstract

The N-soliton solutions for the integrable Hirota equation describing pulse propagation in optical fibers with higher-order effects are presented by using the Darboux transformation method. As an example, the general one-soliton solution on a cw background is given in its explicit form. Then, two exact analytic solutions that describe (i) modulation instability and (ii) bright pulse propagation on a cw background are discussed in detail. The simulations performed in selected cases show that these soliton solutions can be generated numerically when the involved parameters do not exactly satisfy the required integrability conditions.

© 2004 Optical Society of America

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