Traveling wave solutions of the generalized scale-invariant analog of the KdV equation by tanh-coth method

被引：2

作者：

Gonzalez-Gaxiola, Oswaldo ^{[1
]}

Ruiz de Chavez, Juan ^{[2
]}

机构：

[1] Univ Autonoma Metropolitana Cuajimalpa, Appl Math & Syst Dept, Vasco de Quiroga 4871, Mexico City 05348, Mexico

[2] Univ Autonoma Metropolitana Iztapalapa, Dept Math, San Rafael Atlixco 186, Mexico City 09340, Mexico

来源：

NONLINEAR ENGINEERING - MODELING AND APPLICATION | 2023年 / 12卷 / 01期

关键词：

KdV equation; SIdV equation; the tanh-coth method; traveling waves; symbolic computation; DE-VRIES EQUATION;

D O I：

10.1515/nleng-2022-0325

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this work, the generalized scale-invariant analog of the Korteweg-de Vries equation is studied. For the first time, the tanh-coth methodology is used to find traveling wave solutions for this nonlinear equation. The considered generalized equation is a connection between the well-known Korteweg-de Vries (KdV) equation and the recently investigated scale-invariant of the dependent variable (SIdV) equation. The obtained results show many families of solutions for the model, indicating that this equation also shares bell-shaped solutions with KdV and SIdV, as previously documented by other researchers. Finally, by executing the symbolic computation, we demonstrate that the used technique is a valuable and effective mathematical tool that can be used to solve problems that arise in the cross-disciplinary nonlinear sciences.

引用

页数：12

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