Travelling Wave Solutions to the Generalized Pochhammer-Chree (PC) Equations Using the First Integral Method

Shoukry Ibrahim Atia El-Ganaini

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Travelling Wave Solutions to the Generalized Pochhammer-Chree (PC) Equations Using the First Integral Method

机译：使用第一积分方法的广义Pochhammer-Chree（PC）方程的行波解

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By using the first integral method, the traveling wave solutions for the generalized Pochhammer-Chree (PC) equations are constructed. The obtained results include complex exponential function solutions, complex traveling solitary wave solutions, complex periodic wave solutions, and complex rational function solutions. The power of this manageable method is confirmed.

机译：通过使用第一积分方法，构造了广义Pochhammer-Chree（PC）方程的行波解。获得的结果包括复杂的指数函数解，复杂的行孤立波解，复杂的周期波解和复杂的有理函数解。这种易于管理的方法的力量得到了证实。

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《Mathematical Problems in Engineering》 |2011年第4期|p.1-13|共13页
作者
Shoukry Ibrahim Atia El-Ganaini;
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Mathematics Department, Faculty of Science at Dawadmi, Shaqra University, Dawadmi 11911, Saudi Arabia,Mathematics Department, Faculty of Science, Damanhour University, Bahira 22514, Egypt Correspondence should be addressed to Shoukry Ibrahim Atia;

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1. Travelling Wave Solutions to the Generalized Pochhammer-Chree (PC) Equations Using the First Integral Method [J] . Shoukry Ibrahim AtiaEl-Ganaini Mathematical Problems in Engineering: Theory, Methods and Applications . 2011,第2期

机译：使用第一积分方法的广义Pochhammer-Chree（PC）方程的行波解
2. Qualitative Analysis and Travelling Wave Solutions for the Generalized Pochhammer-Chree Equation with a Dissipation Term [J] . Zhao Y, Zhang WG Studies in Applied Mathematics . 2008,第4期

机译：具有耗散项的广义Pochhammer-Chree方程的定性分析和行波解
3. Bifurcations of traveling wave solutions in generalized Pochhammer-Chree equation [J] . Li JB., Zhang LJ. Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2002,第4期

机译：广义Pochhammer-Chree方程中行波解的分支
4. Traveling wave solutions of generalized PC equation [C] . Zheng-rong Liu, Ming Song 第五届国际非线性力学会议论文集 . 2007

机译：广义PC方程的行波解。
5. A NUMERICAL SOLUTION TO A NONLINEAR WAVE PROBLEM USING BOUNDARY INTEGRAL EQUATION METHOD WITH ANALYSIS OF LIMIT CASES. [D] . LU, CHIA-CHI. 1985

机译：非线性波问题的边界积分法与极限情况分析的数值解。
6. Traveling wave solutions of the Boussinesq equation via the new approach of generalized (G′/G)-expansion method [O] . Md Nur Alam, M Ali Akbar, Harun-Or- Roshid -1

机译：Boussinesq方程行波解的广义（G/ G）展开新方法
7. Travelling Wave Solutions to the Generalized Pochhammer-Chree (PC) Equations Using the First Integral Method [O] . Shoukry Ibrahim Atia El-Ganaini 2011

机译：使用第一种整体方法向广义宠物 - 凹陷（PC）方程的行驶波解决方程
8. Similarity Transformations, the Structure of the Travelling Waves Solution and the Existence of a Global Smooth Solution to Generalized Kuramoto-Sivashinsky Type Equations [R] . Guo, B. 1988

机译：相似变换，行波解的结构和广义Kuramoto-sivashinsky型方程整体光滑解的存在性

Travelling Wave Solutions to the Generalized Pochhammer-Chree (PC) Equations Using the First Integral Method

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