Analytical Wave Solutions for Foam and KdV-Burgers Equations Using Extended Homogeneous Balance Method

被引：8

作者：

Abdelsalam, U. M. ^{[1
,2
]}

Ghazal, M. G. M. ^{[2
,3
]}

机构：

[1] Fayoum Univ, Fac Sci, Dept Math, Al Fayyum 63514, Egypt

[2] Minist Higher Educ, Dept Math, Rustaq Coll Educ, Rustaq 329, Oman

[3] Menia Univ, Dept Math, Al Minya 61519, Egypt

来源：

MATHEMATICS | 2019年 / 7卷 / 08期

关键词：

foam drainage equation; Kowerteg-de Vries-Burgers equation; extended homogeneous balance method; exact solutions; nonlinear evolution equation; NONLINEAR EVOLUTION-EQUATIONS; DE-VRIES EQUATION; SOLITARY; PLASMA;

D O I：

10.3390/math7080729

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, extended homogeneous balance method is presented with the aid of computer algebraic system Mathematica for deriving new exact traveling wave solutions for the foam drainage equation and the Kowerteg-de Vries-Burgers equation which have many applications in industrial applications and plasma physics. The method is effective to construct a series of analytical solutions including many types like periodical, rational, singular, shock, and soliton wave solutions for a wide class of nonlinear evolution equations in mathematical physics and engineering sciences.

引用

页数：12

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