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Approximate Noether-Type Symmetries and Conservation Laws via Partial Lagrangians for Nonlinear Wave Equation with Damping 被引量:2

Approximate Noether-Type Symmetries and Conservation Laws via Partial Lagrangians for Nonlinear Wave Equation with Damping
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摘要 以我们部分 Lagrangian 和近似 Euler-Lagrange-type 方程的新准确定义,我们与经由与部分 Lagrangians 联系的近似 Noether 类型对称操作员抑制调查非线性的波浪方程并且在一般形式构造它的近似能量守恒定律。 In terms of our new exact definition of partial Lagrangian and approximate Euler-Lagrange-type equation, we investigate the nonlinear wave equation with damping via approximate Noether-type symmetry operators associated with partial Lagrangians and construct its approximate conservation laws in general form.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第1期37-42,共6页 理论物理通讯(英文版)
基金 Supported by the National Natural Science Foundation of China under Grant No.10671156 the Natural Science Foundation of Shaanxi Province of China under Grant No.SJ08A05
关键词 非线性波动方程 守恒定律 对称性 r型 阻尼 拉氏量 拉格朗日 一般形式 approximate Noether-type symmetry, partial Lagrangian, approximate conservation law
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