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给出一种构造非线性微分差分方程精确解的方法.利用该方法并借助计算机代数系统Maple,获得了一种修正的Volterra链的形式丰富的精确解.该方法也可应用于其他的微分差分方程(组).
关键词:
微分差分方程
精确解
符号计算 相似文献
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Seeking a travelling wave solution of the classical Boussinesq system and making an ansatz for the solution,we obtain a nonlinear system of algebraic equations.We solve the system using an effective algorithm and then two general explicit solutions are obtained which are of physical interest. 相似文献
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Infinite-Parameter Potential Symmetries and a New Exact Solution for the Particle-Cluster Dynamic Equation 下载免费PDF全文
The master equation of a one-dimensional lattice-gas model with order preservation where the occupation probabilities of sites corresponding to Bose statistics as a consequence of the prescribed dynamics is studied with the potential symmetry method.The infinite-parameter potential symmetry and a new exact solution are obtained.The result illustrates that there remains the possibility of the above nonlinear equation to a linear partial differential equation by a non-invertible mapping. 相似文献
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根据微分方程李对称决定方程组生成算法,在计算机代数系统Maple上给出了具体实现GDS,并指出了现行Maple系统上关于李对称计算的软件包liesymm的缺陷,最后通过一些计算实例对三个Maple系统下的软件包GDS,liesymm以及Desolv进行了比较研究. 相似文献
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基于微分方程多边形的概念,就一些直接代数方法给出了几何解释,同时将这种解释推广到方程组的情形,最后以变形Boussinesq方程组为例说明了该几何解释的合理性。
关键词:
微分方程
多边形
几何解释
精确解 相似文献
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