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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

M·纳亚非哈, R·B·查马可提, F·阿汗加瑞. 广义拟线性双曲型方程的对称势及其守恒定律[J]. 应用数学和力学, 2011, 32(12): 1501-1508. doi: 10.3879/j.issn.1000-0887.2011.12.010
引用本文: M·纳亚非哈, R·B·查马可提, F·阿汗加瑞. 广义拟线性双曲型方程的对称势及其守恒定律[J]. 应用数学和力学, 2011, 32(12): 1501-1508. doi: 10.3879/j.issn.1000-0887.2011.12.010
M. Nadjafikhah, R. Bakhshandeh Chamazkoti, F. Ahangari. Potential Symmetries and Conservation Laws for Generalized Quasilinear Hyperbolic Equations[J]. Applied Mathematics and Mechanics, 2011, 32(12): 1501-1508. doi: 10.3879/j.issn.1000-0887.2011.12.010
Citation: M. Nadjafikhah, R. Bakhshandeh Chamazkoti, F. Ahangari. Potential Symmetries and Conservation Laws for Generalized Quasilinear Hyperbolic Equations[J]. Applied Mathematics and Mechanics, 2011, 32(12): 1501-1508. 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
详细信息
  • 中图分类号: O152.5; O175.2

Potential Symmetries and Conservation Laws for Generalized Quasilinear Hyperbolic Equations

  • 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.
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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

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