摘要
基于Lie群方法,研究广义拟线性双曲型方程的对称势和不变解.为了得到显式的不变解,关注物理上有趣的有对称势的情况.然后,利用局部的Lagrange函数逼近,在3种物理上引起注意的情况下,得到该方程的守恒定律.
Based on Lie group method,potential symmetry and invariant solutions for generalized quasilinear hyperbolic equations were studied.To obtain the invariant solutions in explicit form,the physically interesting situations which admit potential symmetries were studied.Then by using the partial Lagrangian approach,the conservation laws for the equation are found in three physically interesting cases.
出处
《应用数学和力学》
CSCD
北大核心
2011年第12期1501-1508,共8页
Applied Mathematics and Mechanics
关键词
守恒定律
广义拟线性双曲型方程
不变解
对称势
conservation laws
generalized quasilinear hyperbolic equations
invariant solution
potential symmetry