Symmetry reduction and exact solutions of a hyperbolic Monge-AmpSre equation

被引：11

作者：

Dong, Zhongzhou ^{[1
]}

Chen, Yong ^{[2
]}

Kong, Dexing ^{[3
]}

Wang, Zenggui ^{[4
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Henan, Peoples R China

[2] E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China

[3] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China

[4] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Shandong, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2012年 / 33卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Symmetry reduction; Monge-Ampere equation; Exact solutions; SIMILARITY REDUCTIONS;

D O I：

10.1007/s11401-012-0696-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By means of the classical symmetry method, a hyperbolic Monge-AmpSre equation is investigated. The symmetry group is studied and its corresponding group invariant solutions are constructed. Based on the associated vector of the obtained symmetry, the authors construct the group-invariant optimal system of the hyperbolic Monge-AmpSre equation, from which two interesting classes of solutions to the hyperbolic Monge-AmpSre equation are obtained successfully.

引用

页码：309 / 316

页数：8

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