Potential symmetries and conservation laws for generalized quasilinear hyperbolic equations

被引：2
|
作者：
Nadjafikhah, M. [1 ]
Chamazkoti, R. Bakhshandeh [1 ]
Ahangari, F. [1 ]
机构：
[1] Iran Univ Sci & Technol, Sch Math, Tehran 1684613114, Iran
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2011年 / 32卷 / 12期
关键词：
conservation law; generalized quasilinear hyperbolic equation; invariant solution; potential symmetry; INVARIANT SOLUTIONS; NOETHER SYMMETRIES;
D O I：
10.1007/s10483-011-1527-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the Lie group method, the potential symmetries and invariant solutions for generalized quasilinear hyperbolic equations are studied. To obtain the invariant solutions in an explicit form, the physically interesting situations with potential symmetries are focused on, and the conservation laws for these equations in three physically interesting cases are found by using the partial Lagrangian approach.
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页码：1607 / 1614
页数：8
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