Some new exact solutions for a generalized variable coeffi- cients KdV equation

被引：2

作者：

Rajagopalan, R. ^{[1
]}

Kader, Abass H. Abdel ^{[2
]}

Latif, Mohamed S. Abdel ^{[2
,3
]}

Baleanu, Dumitru ^{[4
,5
]}

El Sonbaty, Amr ^{[1
,2
]}

机构：

[1] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj 11942, Saudi Arabia

[2] Mansoura Univ, Engn Fac, Dept Math & Engn Phys, Mansoura, Egypt

[3] New Mansoura Univ, Fac Sci, Dept Math, New Mansoura City, Egypt

[4] Cankaya Univ, Arts & Sci Fac, Math Dept, TR-06530 Ankara, Turkiye

[5] Inst Space Sci, POB MG-23, R-76900 Magurele, Romania

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2023年 / 29卷 / 01期

关键词：

Exact solutions; generalized KdV equation; traveling wave; solitons;

D O I：

10.22436/jmcs.029.01.01

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the variable coefficients KdV equation with general power nonlinearities is proposed. Firstly, it is transformed into a generalized KdV equation with constant coefficients using a point transformation. Then, the traveling wave transformation is utilized to transform the obtained constant coefficients generalized KdV equation into a generalized ordinary differential equation. We give a classification for the obtained generalized ordinary differential equation using a suitable integrating factor. Some new solutions are obtained for the generalized KdV equation with constant coefficients. All the obtained solutions in this paper for the variable coefficients KdV equation with general power nonlinearities are new.

引用

页码：1 / 11

页数：11

共 23 条

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