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Optical solitary wave and elliptic function solutions of the Fokas-Lenells equation in the presence of perturbation terms and its modulation instability

机译:Fokas-Lenells方程的光学孤波和椭圆形功能解决方案在扰动项的存在及其调制不稳定性

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摘要

In this paper, we study the Fokas-Lenells (F-L) equation in the presence of perturbation terms and we construct exact solutions. The modified extended direct algebraic method (MEDAM) is utilized, and soliton solutions, solitary wave solutions and elliptic function solutions are achieved. The physical meaning of the geometrical shapes for some of the obtained results is investigated for various choices of the free parameters that appear in the results. The stability of the model is investigated by using the standard linear stability analysis, which verifies that the exact solutions are stable. The achieved solutions and computational work show that the current method is powerful and influential.
机译:在本文中,我们在扰动术语的存在下研究Fokas-Lenells(F-L)方程,我们构建精确解决方案。 利用改进的扩展直接代数方法(MEDAM),实现了孤子解决方案,孤立溶液和椭圆函数溶液。 针对一些获得的结果的几何形状的物理含义被研究用于结果中出现的自由参数的各种选择。 通过使用标准线性稳定性分析来研究模型的稳定性,这验证了精确的解决方案是稳定的。 实现的解决方案和计算工作表明,目前的方法是强大的,有影响力的。

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