带乘性噪声的Biswas-Arshed方程的新行波解
New Traveling Wave Solution of Biswas-Arshed Equation with Multiplicative Noise
DOI: 10.12677/AAM.2023.124148, PDF,    科研立项经费支持
作者: 孟 飞：成都大学计算机学院，四川 成都
关键词: Biswas-Arshed方程；行波解；乘性噪声；完全判别系统；Biswas-Arshed Equation； Traveling Wave Solution； Multiplicative Noise； Complete Discriminant System
摘要: 利用多项式的完全判别法，构建了带乘性噪声的Biswas-Arshed方程的行波解。基于所提出的方法，获得了许多新的精确解，这些解包括双曲函数解、三角函数解、有理函数解、隐式解和雅克比椭圆函数解。
Abstract: In this paper, by using the complete discriminant method of polynomials, new traveling wave solution of Biswas-Arshed equation with multiplicative noise is constructed. Based on the proposed method, many new exact solutions are obtained, these solutions include hyperbolic function solutions, trigonometric function solutions, rational function solutions, implicit solution and Jacobi elliptic function solutions.
文章引用：孟飞. 带乘性噪声的Biswas-Arshed方程的新行波解[J]. 应用数学进展, 2023, 12(4): 1446-1450. https://doi.org/10.12677/AAM.2023.124148

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