论文标题

I类的双周期解决方案无限扩展非线性Schrodinger方程

Doubly-Periodic Solutions of the Class I Infinitely Extended Nonlinear Schrodinger Equation

论文作者

Crabb, Matthew, Akhmediev, Nail

论文摘要

我们提出了无限扩展的非线性schrodinger方程的双周期解,具有任意数量的高阶项和相应的自由实际参数。解决方案具有一个额外的自由变量参数,允许沿两个轴变化。无限的许多自由参数的存在为将溶液应用于非线性波演化提供了许多可能性。总的来说,该解决方案承认了这项工作中也给出的几种特殊情况。

We present doubly-periodic solutions of the infinitely extended nonlinear Schrodinger equation with an arbitrary number of higher-order terms and corresponding free real parameters. Solutions have one additional free variable parameter that allows to vary periods along the two axes. The presence of infinitely many free parameters provides many possibilities in applying the solutions to nonlinear wave evolution. Being general, this solution admits several particular cases which are also given in this work.

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