Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method

A. Ebaid

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Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method

机译：某些非线性发展方程的精确孤立波解，通过函数函数法

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摘要

Based on the Exp-function method, exact solutions for some nonlinear evolution equations are obtained. The KdV equation, Burgers' equation and the combined KdV–mKdV equation are chosen to illustrate the effectiveness of the method.

机译：基于Exp函数法，获得了一些非线性发展方程的精确解。选择KdV方程，Burgers方程和组合的KdV–mKdV方程来说明该方法的有效性。

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《Physics Letters, A》 |2007年第3期|共7页
作者
A. Ebaid;
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正文语种 eng
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Exp-function method; Burgers' equation; Combined KdV–mKdV equation;

机译：扩展函数法;伯格斯方程;KdV–mKdV方程组;

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专利

1. Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method [J] . A. Ebaid Physics Letters, A . 2007,第3期

机译：某些非线性发展方程的精确孤立波解，通过函数函数法
2. Exp-function method for a nonlinear ordinary differential equation and new exact solutions of the dispersive long wave equations [J] . Sheng Zhang, Jing-Lin Tong, Wei Wang Computers & mathematics with applications . 2009,第11a12期

机译：非线性常微分方程的展开函数法和色散长波方程组的新精确解
3. Exact solutions of nonlinear evolution equations with variable coefficients using exp-function method [J] . Bekir A., Aksoy E. Applied mathematics and computation . 2010,第1期

机译：运用系数函数法求解变系数非线性发展方程的精确解
4. Nonlinear Evolution Equation for Propagation of Waves in an Artery with an Aneurysm: An Exact Solution Obtained by the Modified Method of Simplest Equation [C] . Elena V. Nikolova, Ivan P. Jordanov, Zlatinka I. Dimitrova, Annual meeting of the Bulgarian section of SIAM . 2018

机译：动脉瘤中动脉中波传播的非线性演化方程：通过最简单方程改性方法获得的精确解决方案
5. Nonlinear wave equations and solitary waves. [D] . Yan, Chuntao Samuel. 1995

机译：非线性波动方程和孤立波。
6. Investigation of Solitary wave solutions for Vakhnenko-Parkes equation via exp-function and Exp(−ϕ(ξ))-expansion method [O] . Harun-Or Roshid, Md Rashed Kabir, Rajandra Chadra Bhowmik, -1

机译：用exp函数和Exp（-ϕ（ξ））展开法研究Vakhnenko-Parkes方程的孤波解
7. New solitary wave solutions to nonlinear evolution equations by the Exp-function method [O] . Chun Changbum 2011

机译：扩展函数法求解非线性发展方程的新孤波解
8. Straightforward Method for Finding Implicit Solitary Wave Solutions of Nonlinear Evolution and Wave Equations [R] . Banerjee, P. P., Daoud, F., Hereman, W. 1989

机译：求非线性演化和波动方程隐式孤波解的直接法

Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method

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