论文标题
nther阶平滑声顿和通用非线性schrödinger方程的呼吸质溶液
Nth order smooth positon and breather-positon solutions of a generalized nonlinear Schrödinger equation
论文作者
论文摘要
在本文中，我们研究了包含更高级非线性效应的广义非线性schrödinger（GNLS）方程的平滑声音和呼吸 - 波西氏溶液。借助广义的Darboux转换（GDT）方法，我们构建了GNLS方程的$ n $ th订单平滑正面解决方案。我们研究高阶非线性项对这些解决方案的影响。我们的调查表明，正电子溶液受到高阶非线性效应的高度压缩。正电子的方向也被更改。我们还在GDT的帮助下得出了$ n $ th订单呼吸 - positon（B-P）解决方案。我们表明，这些B-PS受到高阶非线性项的影响很好地压缩了，但是B-P溶液的周期不像呼气溶液案例那样受到影响。
In this paper, we investigate smooth positon and breather-positon solutions of a generalized nonlinear Schrödinger (GNLS) equation which contains higher order nonlinear effects. With the help of generalized Darboux transformation (GDT) method we construct $N$th order smooth positon solutions of GNLS equation. We study the effect of higher order nonlinear terms on these solutions. Our investigations show that the positon solutions are highly compressed by higher order nonlinear effects. The direction of positons are also get changed. We also derive $N$th order breather-positon (B-P) solution with the help of GDT. We show that these B-Ps are well compressed by the effect of higher order nonlinear terms but the period of B-P solution is not affected as in the breather solution case.
