Abstract

We consider a nonlinear Schrödinger equation arising in a number of physical problems. It is shown that when the real part is separated in this equation, there arises a nonlinear differential equation that has at least two types of solutions, a multiwave solution and a solution in the form of standing waves. Numerical examples of the multiwave solution and its transition to the standing wave solution are presented.

中文翻译：

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一个非线性薛定谔方程的多波解

摘要

我们考虑在许多物理问题中出现的非线性薛定谔方程。结果表明，当在该方程中分离实部时，就会出现一个非线性微分方程，该方程至少有两种解，一种是多波解，另一种是驻波形式的解。给出了多波解及其向驻波解的过渡的数值例子。