(1 + 1)维复合KdVB方程的新颖(G′/G)展开精确行波解

Md. Nur Alam, F. Belgacem
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引用次数: 14

摘要

在这项工作中,我们采用了一种新颖的(G'/G)展开技术,确定了(1 + 1)维复合KdVB方程的四族行波解。根据双曲函数、三角函数和有理函数,导出了涉及各种参数的精确解。当参数调整到特殊值时,孤立波和周期波模型都被区分开来。提供并讨论了得到的物理解的最先进的符号代数、图形表示和动态解释。这反过来又揭示了解决方案的显著特征,并展示了所使用方法的效率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Exact Traveling Wave Solutions for the (1 + 1)-Dimensional Compound KdVB Equation via the Novel (G'/G)-Expansion Method
In this work, while applying a new and novel (G'/G)-expansion version technique, we identify four families of the traveling wave solutions to the (1 + 1)-dimensional compound KdVB equation. The exact solutions are derived, in terms of hyperbolic, trigonometric and rational functions, involving various parameters. When the parameters are tuned to special values, both solitary, and periodic wave models are distinguished. State of the art symbolic algebra graphical representations and dynamical interpretations of the obtained solutions physics are provided and discussed. This in turn ends up revealing salient solutions features and demonstrating the used method efficiency.
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