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

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