SYMMETRY REDUCTIONS AND EXPLICIT SOLUTIONS OF (3+1)-DIMENSIONAL BURGERS SYSTEM

被引：4

作者：

Lv, Na ^{[1
]}

Mei, Jian-Qin ^{[1
]}

Zhang, Hong-Qing ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2011年 / 25卷 / 26期

关键词：

Symmetry reduction; Burgers system; Lie group method; explicit solution; SIMILARITY REDUCTIONS; BOUSSINESQ EQUATION; INTEGRABLE SYSTEMS; EXPANSION METHOD; WAVE SOLUTIONS; TRANSFORMATION; SOLITONS;

D O I：

10.1142/S0217979211101508

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

With the aid of symbolic computation, we use the Lie group method to find the Lie point symmetries of (3+1)-dimensional Burgers system, and reduce the system with the obtained symmetries. As a result, many kinds of new symmetry reductions have been presented. And some explicit solutions are given due to the Riccati equation method.

引用

页码：3473 / 3484

页数：12

共 24 条

[21] A new Riccati equation rational expansion method and its application to (2+1)-dimensional Burgers equation [J].

Wang, Q ;

Chen, Y ;

Zhang, HQ .

CHAOS SOLITONS & FRACTALS, 2005, 25 (05) :1019-1028

[22] Multiple soliton solutions and multiple singular soliton solutions for the (3+1)-dimensional Burgers equations [J].

Wazwaz, Abdul-Majid .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (02) :942-948

[23] A simple transformation for nonlinear waves [J].

Yan, CT .

PHYSICS LETTERS A, 1996, 224 (1-2) :77-84

[24]

Zhu HP, 2007, COMMUN THEOR PHYS, V48, P57

← 1 2 3 →