The N-soliton solution of a two-component modified nonlinear Schrödinger equation

Details The N-soliton solution of a two-component modified nonlinear Schrödinger equation The N-soliton solution of a two-component modified nonlinear Schrödinger equation

2011-07-05

arxiv.org/abs/1107.0776v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

To appear in Phys. Lett. A (2011)

Scientific paper

The $N$-soliton solution is presented for a two-component modified nonlinear Schr\"odinger equation which describes the propagation of short pulses in birefringent optical fibers. The solution is found to be expressed in terms of determinants. The proof of the solution is carried out by means of an elementary theory of determinants. The generalization of the 2-component system to the multi-component system is discussed as well as a (2+1)-dimensional nonlocal equation arising from its continuum limit.

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