Exact solutions of some nonlinear partial differential equations using the variational iteration method linked with Laplace transforms and the Pade technique

Tamer A. Abassy; Magdy A. El-Tawil; H. El-Zoheiry

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Exact solutions of some nonlinear partial differential equations using the variational iteration method linked with Laplace transforms and the Pade technique

机译：与拉普拉斯变换和Pade技术相联系的变分迭代方法对某些非线性偏微分方程的精确解

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摘要

In this paper, the variational iteration method (VIM) is reintroduced with Laplace transforms and the Pade technique treatment to obtain closed form solutions of nonlinear equations. Some examples, including the coupled Burger's equation, compacton k(n, n) equation, Zakharov-Kuznetsov Zk(n, n) equation, and KdV and mKdV equations are given to show the effectiveness of the coupled VIM-Laplace-Pade and VIM-Pade techniques.

机译：在本文中，通过拉普拉斯变换和Pade技术处理重新引入了变分迭代方法（VIM），以获得非线性方程的闭合形式解。给出了一些例子，包括耦合的Burger's方程，compacton k（n，n）方程，Zakharov-Kuznetsov Zk（n，n）方程以及KdV和mKdV方程，以证明耦合的VIM-Laplace-Pade和VIM的有效性-Pade技术。

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来源
《Computers & mathematics with applications》 |2007年第8期|940-954|共15页
作者
Tamer A. Abassy; Magdy A. El-Tawil; H. El-Zoheiry;
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作者单位

Department of Basic Science, Benha Higher Institute of Technology, Benha University, 13512, Egypt;

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原文格式 PDF
正文语种 eng
中图分类计算机的应用;
关键词
nonlinear partial differential equations; variational iteration method; compactons; laplace transform; pade approximant;

机译：非线性偏微分方程;变分迭代法压实机拉普拉斯变换帕德近似;

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7. Exact solutions of some nonlinear partial differential equations using the variational iteration method linked with Laplace transforms and the Padé technique [O] . Abassy Tamer A., El-Tawil Magdy A., El-Zoheiry H. 2007

机译：与Laplace变换和Padé技术联系在一起的变分迭代方法对某些非线性偏微分方程的精确解

Exact solutions of some nonlinear partial differential equations using the variational iteration method linked with Laplace transforms and the Pade technique

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