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广义拟线性双曲型方程的对称势及其守恒定律

Potential Symmetries and Conservation Laws for Generalized Quasilinear Hyperbolic Equations
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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.
作者 M·纳亚非哈 R·B·查马可提 F·阿汗加瑞 黄雅意
机构地区 伊朗科技大学数学学院
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
分类号 O152.5 [理学—基础数学] O175.2 [理学—基础数学]
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参考文献20

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二级参考文献11

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应用数学和力学
2011年 第12期

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