双分量修正非线性薛定谔方程的N孤子解
The N-soliton solution of a two-component modified nonlinear Schrödinger equation
摘要：
给出了描述短脉冲在双折射光纤中传输的双分量修正非线性薛定谔方程的$N$孤子解。解决方案被发现是表示在行列式方面。解决方案的证明是通过一个基本理论的决定因素。讨论了二组分体系到多组分体系的推广，以及由其连续极限所产生的（2+1）维非局部方程。
英文摘要：
The $N$-soliton solution is presented for a two-component modified nonlinear Schrödinger 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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