Lie symmetry analysis, soliton solutions and qualitative analysis concerning to the generalized q-deformed Sinh-Gordon equation
Lie symmetry analysis, soliton solutions and qualitative analysis concerning to the generalized q-deformed Sinh-Gordon equation
复制标题
DOI：
10.1016/j.cnsns.2022.106824
复制
发表时间：
2022-08
期刊：
影响因子：
--
通讯作者：
N. Raza;Farwa Salman;A. R. Butt;M. Gandarias
中科院分区：
文献类型：
--
作者：
N. Raza;Farwa Salman;A. R. Butt;M. Gandarias
在这个手稿中，李点对称，守恒定律，和行波约化都得到了推导。利用统一方法，得到了广义q-变形方程孤子解的新形式。实现该方法后，控制模型的结果以有理函数和多项式函数的形式得到。用统一的方法分析了孤立解、孤子解和周期有理解。此外，为了说明各种孤子的传播特性，使用了几个插图来显示它们的统计数据。在控制方程上引入了分岔。刨床系统已被提取。在所有可能的情况下，用相平面图表示了这些参数的行为。所提出的方程扩展了具有破对称的复杂过程的建模可能性。
In this manuscript, the Lie point symmetries, conservation laws, and traveling wave reductions have all been derived. Also, new forms of soliton solutions of generalized q-deformed equation via means of unified method has been extracted. Implementing this approach the results of governing model are obtained as rational and polynomial functions. The unified technique is used to analyze solitary solutions, soliton solutions, also periodic rational solutions. Additionally, to illustrate the various solitons’ propagation characteristics, several illustrations are used to display their statistical data. The bifurcation is introduced on the governing equation. The planer system has been extracted. Taking all possible cases for the parameters, the behavior has been shown by portraits in phase plane. The proposed equation has expanded modeling possibilities for complex processes with broken symmetry.