Solitary Wave Solutions to a Generalization of the mKdV Equation

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2023-06-18 DOI:10.1134/S1061920823020103

G. Omel’yanov, J. Noyola Rodriguez

引用次数: 1

Abstract

We consider a generalization of the mKdV equation which contains dissipation terms similar to those contained in both the Benjamin–Bona–Mahoney equation and the famous Camassa–Holm and Degasperis–Procesi equations. Our objective is the construction of classical (solitons) and non-classical (peakons and cuspons) solitary wave solutions of this equation.

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mKdV方程推广的孤立波解

我们考虑了mKdV方程的推广，它包含了与Benjamin-Bona-Mahoney方程和著名的Camassa-Holm和Degasperis-Procesi方程相似的耗散项。我们的目标是构造这个方程的经典(孤子)和非经典(峰子和逆子)孤波解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.