广义拟线性双曲型方程的对称势及其守恒定律

M·纳亚非哈; R·B·查马可提; F·阿汗加瑞

doi:10.3879/j.issn.1000-0887.2011.12.010

广义拟线性双曲型方程的对称势及其守恒定律

doi: 10.3879/j.issn.1000-0887.2011.12.010

伊朗科技大学数学学院, 纳马克, 德黑兰 1684613114, 伊朗

详细信息

中图分类号: O152.5; O175.2
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出版历程
- 收稿日期: 2010-12-29
- 修回日期: 2011-08-03
- 刊出日期: 2011-12-15

Potential Symmetries and Conservation Laws for Generalized Quasilinear Hyperbolic Equations

School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran

摘要

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．
- 守恒定律 /
- 广义拟线性双曲型方程 /
- 不变解 /
- 对称势
Abstract: 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.
- conservation laws /
- generalized quasilinear hyperbolic equations /
- invariant solution /
- potential symmetry

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参考文献(21)

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