A (3+1)-dimensional generalized BKP-Boussinesq equation: Lie group approach

被引：38

作者：

Khalique, Chaudry Masood ^{[1
]}

Moleleki, Letlhogonolo Daddy ^{[1
]}

机构：

[1] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, Mafikeng Campus,Private Bag X 2046, ZA-2735 Mmabatho, South Africa

来源：

RESULTS IN PHYSICS | 2019年 / 13卷

关键词：

A (3+ 1)-dimensional generalized BKP-Boussinesq equation; Lie point symmetries; Exact solutions; Incomplete elliptic integral; ((G '/G)) expansion method; Conservation laws; TRAVELING-WAVE SOLUTIONS; EXPANSION; KP;

D O I：

10.1016/j.rinp.2019.102239

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A (3+ 1)-D generalized B-type KP-Boussinesq equation, which was recently formulated in the literature, is investigated here from Lie group standpoint. A solution is obtained by Lie symmetry reductions and direct integration in terms of incomplete elliptic integral. Furthermore, hyperbolic and trigonometric functions solutions are derived by invoking the (('G/G-)) expansion method. Finally, we construct conservation laws of the aforementioned equation by utilizing the multiplier method and conservation theorem due to Ibragimov.

引用

页数：5

共 42 条

[1]

Ablowitz M J, 1991, SOLITONS NONLINEAR E

[2]

Abramowitz M., 1972, HDB MATH FUNCTIONS

[3] Analytical analysis of soliton propagation in microcavity wires [J].