Soliton on a cnoidal wave background in the coupled nonlinear Schrödinger equation
Soliton on a cnoidal wave background in the coupled nonlinear Schrödinger equation
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DOI：
10.1088/0305-4470/37/33/004
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发表时间：
2003-12
期刊：
影响因子：
--
通讯作者：
H. Shin
中科院分区：
文献类型：
--
作者：
H. Shin
在耦合非线性薛定谔方程中，将达布变换应用于椭圆形波背景，给出了描述在椭圆形波上运动的孤子的新解。这是先前已知的暗-亮对孤子解的广义版本。这里，暗孤子位于椭圆曲线波上，而不是恒定的背景上。它还展示了自聚焦介质中的一种新型孤子解决方案，该解决方案描述了广义暗-亮对分解为另一个广义暗-亮对和“振荡”孤子。我们计算了椭圆曲线波峰沿孤子的移动以及孤子在椭圆曲线上的移动方向。
An application of the Darboux transformation on a cnoidal wave background in the coupled nonlinear Schrodinger equation gives a new solution which describes a soliton moving on a cnoidal wave. This is a generalized version of the previously known soliton solutions of dark–bright pair. Here a dark soliton resides on a cnoidal wave instead of on a constant background. It also exhibits a new type of soliton solution in a self-focusing medium, which describes a breakup of a generalized dark–bright pair into another generalized dark–bright pair and an 'oscillating' soliton. We calculate the shift of the crest of the cnoidal wave along a soliton and the moving direction of the soliton on a cnoidal wave.