Jacobi elliptic function solutions to variable nonlinear Klein-Gordon equation

机译：Jacobi椭圆函数解决方案可变非线性Klein-Gordon方程

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By means of the extended mapping method, the traveling wave solution for the variable nonlinear Klein-Gordon equation is investigated, which is obtained in terms of the Jacobi elliptic functions. The hyperbolic function solutions and trigonal solutions are also obtained. The numerical simulations are attached. At the same time, the physical meanings of the obtained solutions are discussed, and the problem needed to further study is pointed out.

机译：借助于扩展映射方法，研究了可变非线性Klein-Gordon方程的行进波解决方案，其就雅各的椭圆函数而获得。还获得了双曲线功能解决方案和三角溶液。附带数值模拟。同时，讨论了所获得的解决方案的物理含义，指出了进一步研究所需的问题。

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《International Industrial Informatics and Computer Engineering Conference》|2015年||共5页
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作者
Chunhuan Xiang; Bo Liang; Longcong Chen; Honglei Wang;
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原文格式 PDF
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中图分类 TP3-53;
关键词
Jacobi elliptic function; Variable nonlinear Klein-Gordon equation; Travelling wave solutions; Numerical simulations;

机译：Jacobi椭圆函数;可变非线性Klein-Gordon方程;行波解决方案;数值模拟;

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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. New solitary wave solutions with compact support and Jacobi elliptic function solutions for the nonlinearly dispersive Boussinesq equations [J] . Inc M Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2008,第3期

机译：非线性弥散Boussinesq方程的新的带紧支撑的孤立波解和Jacobi椭圆函数解
3. New solitary wave solutions with compact support and Jacobi elliptic function solutions for the nonlinearly dispersive Boussinesq equations [J] . Inc M Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2008,第3期

机译：非线性弥散Boussinesq方程的新的带紧支撑的孤立波解和Jacobi椭圆函数解
4. Jacobi elliptic function solutions to variable nonlinear Klein-Gordon equation [C] . Chunhuan Xiang, Bo Liang, Longcong Chen, International Industrial Informatics and Computer Engineering Conference . 2015

机译：Jacobi椭圆函数解决方案可变非线性Klein-Gordon方程
5. Topics in nonlinear elliptic equations: (1) Bifurcation theory of nonlinear elliptic equations; (2) Spike layer solutions of the Cahn-Hilliard equation. [D] . Shi, Junping. 1998

机译：非线性椭圆方程的主题：（1）非线性椭圆方程的分岔理论；（2）Cahn-Hilliard方程的尖峰层解。
6. Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations [O] . Kamruzzaman Khan, M Ali Akbar, S M Rayhanul Islam -1

机译：（1 + 1）维非线性色散修正的Benjamin-Bona-Mahony方程和Klein-Gordon耦合方程的精确解
7. Jacobi elliptic function solutions to variable nonlinear Klein-Gordon equation [O] . Chunhuan Xiang, Bo Liang, Longcong Chen, 2015

机译：Jacobi椭圆函数解决方案可变非线性Klein-Gordon方程

Jacobi elliptic function solutions to variable nonlinear Klein-Gordon equation

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