共查询到18条相似文献,搜索用时 61 毫秒
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研究变质量Chetaev型非完整系统Appell方程的Mei对称性和Mei守恒量.建立变质量Chetaev型非完整系统的Appell方程和系统的运动微分方程; 给出函数沿系统运动轨道曲线对时间t全导数的表示式,并在群的无限小变换下,给出变质量Chetaev型非完整系统Appell方程Mei对称性的定义和判据;得到用Appell函数表示的Mei对称性的结构方程和Mei守恒量的表达式,并举例说明结果的应用.
关键词:
变质量
非完整系统
Appell方程
Mei守恒量 相似文献
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This paper focuses on studying the symmetry of a practical
wave equation on new lattices. It is a new step in that the new
lattice equation is applied to reduce the discrete problem of motion of
an elastic thin homogeneous bar. The equation of motion of the bar can
be changed into a discrete wave equation. With the new lattice
equation, the translational and scaling invariant, not only is the
infinitesimal transformation given, but the symmetry and Lie
algebras are also calculated. We also give a new form of invariant called
the ratio invariant, which can reduce the process of the computing
invariant with the characteristic equation. 相似文献
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辅助方程法已构造了非线性发展方程的有限多个新精确解. 本文为了构造非线性发展方程的无穷序列类孤子精确解, 分析总结了辅助方程法的构造性和机械化性特点. 在此基础上,给出了一种辅助方程的新解与Riccati方程之间的拟Bäcklund变换. 选择了非线性发展方程的两种形式解,借助符号计算系统 Mathematica,用改进的(2+1) 维色散水波系统为应用实例,构造了该方程的无穷序列类孤子新精确解. 这些解包括无穷序列光滑类孤子解, 紧孤立子解和尖峰类孤立子解. 相似文献
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In this paper a new ring-shaped harmonic oscillator for spin 1/2 particles is studied, and the corresponding eigenfunctions and eigenenergies are obtained by solving the Dirac equation with equal mixture of vector and scalar potentials. Several particular cases such as the ring-shaped non-spherical harmonic oscillator, the ring-shaped harmonic oscillator, non-spherical harmonic oscillator, and spherical harmonic oscillator are also discussed. 相似文献
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In this short note, a new projective equation (Ф = σФ + Ф^2) is used to obtain the variable separation solutions with two arbitrary functions of the (2+1)-dimensional Boiti-Leon-Manna Pempinelli system (BLMP). Based on the derived solitary wave solution and by selecting appropriate functions, some novel localized excitations such as multi dromion-solitoffs and fractal-solitons are investigated. 相似文献
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