耦合kdv方程的相互作用解
Interaction Solutions of the Coupled KdV Equations
DOI: 10.12677/AAM.2023.124185, PDF,    科研立项经费支持
作者: 董 露, 陈怀堂*：临沂大学数学与统计学院，山东 临沂
关键词: 耦合kdv方程；相互作用解；辅助方程法；Coupled KdV Equations； Interaction Solution； Auxiliary Equation Method
摘要: 随着人们对非线性方程的深入研究，经常通过探求耦合kdv方程的相互作用解来描述水波等自然运动规律。本文提出了一种求耦合kdv方程相互作用解的辅助方程新方法。该新方法可以很容易得到三角函数、指数函数、双曲函数和其他函数的混合函数解。利用该方法，我们成功地得到了耦合kdv方程的相互作用解。这些解在帮助物理学家准确分析相关领域中的特殊现象方面具有十分重要的理论意义和应用价值。
Abstract: In this paper, based on the auxiliary equation method, we obtain new interaction solutions of the coupled KdV equations, these solutions are degenerated to the solitary wave solutions, the triangle function solutions and other function solutions. It is significant to help physicists to analyze special phenomena in their relevant fields accurately.
文章引用：董露, 陈怀堂. 耦合kdv方程的相互作用解[J]. 应用数学进展, 2023, 12(4): 1785-1791. https://doi.org/10.12677/AAM.2023.124185

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