The Jacobi elliptic function method and its application for two component BKP hierarchy equations

Mohammed K. Elboree

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The Jacobi elliptic function method and its application for two component BKP hierarchy equations

机译：Jacobi椭圆函数方法及其在两个BKP层次方程组中的应用

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摘要

The periodic wave solutions for the two component BKP hierarchy are obtained by using of Jacobi elliptic function method, in the limit cases, the multiple soliton solutions are also obtained. The properties of some periodic and soliton solution for this system are shown by some Figures.

机译：利用雅可比椭圆函数方法获得了两分量BKP层级的周期波解，在极限情况下，还获得了多个孤子解。一些图显示了该系统的某些周期和孤子解的性质。

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来源
《Computers & mathematics with applications》 |2011年第12期|p.4402-4414|共13页
作者
Mohammed K. Elboree;
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作者单位

Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt;

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正文语种 eng
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关键词
jacobi elliptic function; soliton solutions; double periodic solutions; the two component BKP hierarchy;

机译：雅各比椭圆函数孤子解;双重周期解;两个组件的BKP层次结构;

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1. New Periodic Solution to Jacobi Elliptic Functions of a (2+1)-Dimensional BKP Equation and a Generalized Klein-Gordon Equation [J] . Ma Hong-Cai, Deng Ai-Ping, Qin Zhen-Yun 中国物理快报：英文版 . 2009,第004期

机译：（2 + 1）维BKP方程和广义Klein-Gordon方程Jacobi椭圆函数的新周期解
2. Applications of Jacobi Elliptic Function Expansion Method for Nonlinear Differential-Difference Equations [J] . XU Gui-Qiong, LI Zhi-Bin Communications in Theoretical Physics . 2005,第3期

机译：Jacobi椭圆函数展开法在非线性微分方程中的应用
3. Applications of Jacobi Elliptic Function Expansion Method for Nonlinear Differential-Difference Equations [J] . XU Gui-Qiong, LI Zhi-Bin 理论物理通讯（英文版） . 2005,第003期

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4. A General Jacobi Elliptic Function Rational Expansion Method and Its Applications in Nonlinear Wave Equations [C] . Lu, DaZhao, Cui, YanYing, Liu, ChangHe ICCIS 2012;International conference on computational and information sciences . 2012

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5. Discontinuous Galerkin methods for Hamilton-Jacobi equations and high-dimensional elliptic equations [D] . Wang, Zixuan. 2015

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6. Optimal Control of Time-Delay Fractional Equations via a Joint Application of Radial Basis Functions and Collocation Method [O] . Shu-Bo Chen, Samaneh Soradi-Zeid, Hadi Jahanshahi, 2020

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7. The Jacobi elliptic function method and its application for two component BKP hierarchy equations [O] . Elboree Mohammed K. 2011

机译：Jacobi椭圆函数方法及其在两个BKP层次方程组中的应用

The Jacobi elliptic function method and its application for two component BKP hierarchy equations

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