Abstract

The stability of vector solitons is considered in the framework of two coupled nonlinear Schrödinger equations. It is found that a bound state in the form of two coupled bright solitons achieves a minimum Hamiltonian for a fixed number of quasi-particles, and thus the stability of such a solution may be proved by direct construction of the Lyapunov function. An integral condition is obtained for an initial wave packet under which the fractional pulses are stabilized against splitting.

© 1992 Optical Society of America

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