SYMMETRY ANALYSIS AND SOLITARY WAVE SOLUTIONS OF NONLINEAR ION-ACOUSTIC WAVES EQUATION

被引:7
作者
Moussa, M. H. M. [1 ,3 ]
Gaber, A. A. [2 ,3 ]
机构
[1] Umm Al Qura Univ, Univ Coll, Dept Math, Al Leth, Saudi Arabia
[2] Majmaah Univ, Coll Sci & Human Studies Hotat Sudair, Dept Math, Al Majmaah 11952, Saudi Arabia
[3] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt
来源
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2020年 / 18卷 / 03期
关键词
symmetry analysis; modified Exp-Function method; Zakharov-Kuznetsov equation; SIMILARITY SOLUTIONS;
D O I
10.28924/2291-8639-18-2020-448
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The problem of nonlinear ion-acoustic waves equation in a magnetized plasma, known as Zakharov-Kuznetsov equation, is investigated by using symmetry analysis. The carryover of the symmetry analysis has led to certain similarity reductions of this equation. Furthermore, exact solutions of similarity reductions are obtained by modified Exp-Function method with computational symbolic. Some figures are obtained to show the properties of the solutions.
引用
收藏
页码:448 / 460
页数:13
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