Abstract

Pulse propagating in inhomogeneous nonlinear media with linear/nonlinear gain and loss described by the asymmetrical (2 + 1)-dimensional cubic-quintic Ginzburg-Landau equation is considered. The evolution and the stability of the dissipative optical solitons generated from an asymmetric input with respect to two transverse coordinates x and y are studied. Our approach is based on the variational method. This approach allows us to analyze the influence of various physical parameters on the dynamics of the propagating signal and its relevant parameters. According to the parameters of the system and a suitable choice of the test function, a domain of dissipative parameters for stable solitonic solutions is determined. Bifurcation diagrams related to the existence of the stationary solutions presented show a good agreement between analytical and numerical results.

Graphical abstract

中文翻译：

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二维动力学模型中移动耗散孤子的稳定性分析

摘要

考虑了在具有线性/非线性增益和损耗的非均匀非线性介质中的脉冲传播，该线性和非线性增益和损耗由不对称（2 +1）维三次五次方Ginzburg-Landau方程描述。研究了关于两个横向坐标x和y的非对称输入产生的耗散光孤子的演化和稳定性。我们的方法基于变分方法。这种方法使我们能够分析各种物理参数对传播信号及其相关参数动力学的影响。根据该系统和测试功能的适当选择的参数，用于稳定解孤子耗散参数的结构域被确定。

图形概要