Exact solutions for the generalized nonlinear heat conduction equations using the exp-function method

Yi-Xin Wen; Xin-Wei Zhou

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Exact solutions for the generalized nonlinear heat conduction equations using the exp-function method

机译：使用泛函法的广义非线性导热方程的精确解

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摘要

The exp-function method is used to find exact solutions of the generalized nonlinear heat conduction equations. The results obtained include all the solutions from the open literature as special cases.

机译：exp函数方法用于找到广义非线性热传导方程的精确解。获得的结果包括特殊情况下来自公开文献的所有解决方案。

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《Computers & mathematics with applications》 |2009年第12期|2464-2467|共4页
作者
Yi-Xin Wen; Xin-Wei Zhou;
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作者单位

Department of Mathematics, Kunming University, Kunming, Yunnan 650031, China;

Department of Mathematics, Kunming University, Kunming, Yunnan 650031, China;

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原文格式 PDF
正文语种 eng
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关键词
exp-function method; generalized nonlinear heat conduction equation;

机译：函数函数法广义非线性热传导方程;

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专利

1. New Explicit Solutions for the Vakhnenko and a Generalized Form of the Nonlinear Heat Conduction Equations via Exp-Function Method [J] . H. Hosseini, M. M. Kabir, A. Khajeh International journal of nonlinear sciences and numerical simulation . 2010,第4期

机译：Vakhnenko的新显式解和非线性热传导方程的广义形式的展开函数法
2. New Explicit Solutions for the Vakhnenko and a Generalized Form of the Nonlinear Heat Conduction Equations via Exp-Function Method [J] . M. M. Kabir, A. Khajeh International journal of nonlinear sciences and numerical simulation . 2009,第10期

机译：Vakhnenko的新显式解和非线性热传导方程的广义形式的展开函数法
3. Exact solutions for the nonlinear Schr?dinger equation with variable coefficients using the generalized extended tanh-function, the sine-cosine and the exp-function methods [J] . Zayed E.M.E., Abdelaziz M.A.M. Applied mathematics and computation . 2011,第5期

机译：使用广义扩展tanh函数，正弦余弦和exp函数方法求解变系数非线性Schr？dinger方程的精确解
4. Exp-Function Method with Computer Symbolic Computation for Exact Solutions of A Nonlinear Differential Equation [C] . Sheng Zhang, Dong-Dong Liu International Industrial Informatics and Computer Engineering Conference . 2015

机译：具有计算机符号计算的EXP功能方法，用于非线性微分方程的精确解
5. An exact solution of the 2-D hyperbolic heat conduction equation. [D] . Choudhury, Mushrif A. 2015

机译：二维双曲导热方程的精确解。
6. Numerical Solution to Generalized Burgers-Fisher Equation Using Exp-Function Method Hybridized with Heuristic Computation [O] . Suheel Abdullah Malik, Ijaz Mansoor Qureshi, Muhammad Amir, -1

机译：启发式计算与混合函数的展开函数法求解广义Burgers-Fisher方程的数值解
7. Exact solutions for the generalized nonlinear heat conduction equations using the exp-function method [O] . Wen Yi-Xin, Zhou Xin-Wei 2009

机译：广义非线性导热系数方程的精确解

Exact solutions for the generalized nonlinear heat conduction equations using the exp-function method

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