On the Exact Solutions of the Thomas Equation by Algebraic Methods

Al-Ghafri K. S.

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On the Exact Solutions of the Thomas Equation by Algebraic Methods

机译：用代数方法论托马斯方程的精确解

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摘要

The Thomas equation is studied to obtain new exact solutions. The wave transformation technique is applied to simplify the main form of the Thomas equation from partial differential equation (PDE) to an ordinary differential equation (ODE). The modified tanh and (G'/G)-expansion methods are used with the aid of Maple software to arrive at exact solutions for the Thomas equation. Many types of solutions are obtained.

机译：研究Thomas方程以获得新的精确解。波变换技术用于简化托马斯方程的主要形式，从偏微分方程（PDE）简化为常微分方程（ODE）。借助Maple软件使用改进的tanh和（G'/ G）展开方法来获得Thomas方程的精确解。获得了许多类型的解决方案。

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《International journal of nonlinear sciences and numerical simulation》 |2015年第2期|共5页
作者
Al-Ghafri K. S.;
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正文语种 eng
中图分类数学;
关键词
Thomas equation; wave transformation; modified tanh method; (G'/G)-expansion method; exact solution;

机译：Thomas方程;波变换;修正tanh法;（G'/ G）-展开法;精确解;

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1. On the Exact Solutions of the Thomas Equation by Algebraic Methods [J] . Al-Ghafri K. S. International journal of nonlinear sciences and numerical simulation . 2015,第2期

机译：用代数方法论托马斯方程的精确解
2. A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method [J] . Moaddy Khaled, Al-Smadi Mohammed, Hashim Ishak Discrete dynamics in nature and society . 2015,第Pta1期

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3. A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method [J] . KhaledMoaddy, MohammedAL-Smadi, IshakHashim Discrete dynamics in nature and society . 2015,第4期

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4. Spin-orbit coupling in the hydrogen atom, the Thomas precession, and the exact solution of Dirac's equation [C] . Masud Mansuripur SPIE Conference on Spintronics . 2019

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6. One class of meromorphic solutions of general two-dimensional nonlinear equations connected with the algebraic inverse scattering method [O] . D. V. Chudnovsky 1978

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7. Exact solution of some linear matrix equations using algebraic methods [O] . Mitter S. K., Djaferis T. E. 1977

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On the Exact Solutions of the Thomas Equation by Algebraic Methods

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