第一积分，非线性偏差分方程的守恒向量

IF 0.7 Q2 MATHEMATICS

Afrika Matematika Pub Date : 2025-05-28 DOI:10.1007/s13370-025-01326-5

Akhtar Hussain, A. H. Kara, F. D. Zaman

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引用次数: 0

摘要

我们对离散的Fitzhugh-Nagumo （FN）方程和Kolmogorov Petrovskii Piskunov （KPP）方程进行了对称性分析，其中离散版本使用形式化离散化方法产生。该过程的主要方面是使用Hydon开发的技术生成对称代数。在此基础上，导出了离散方程的守恒向量或一阶积分向量的构造方法。

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First integrals, conserved vectors of nonlinear partial difference equations

We conduct a symmetry analysis of the discrete Fitzhugh-Nagumo (FN) and the Kolmogorov Petrovskii Piskunov (KPP) equations for which the discrete versions are produced using a formal discretization method. The primary aspect of the procedure is to generate a symmetry algebra using a technique developed by Hydon. Then, we derive a method for the construction of conserved vectors or first integral vectors for the discrete equations.

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来源期刊

Afrika Matematika MATHEMATICS-

CiteScore

2.00

自引率

9.10%

发文量