Bifurcation Analysis and Implicit Solution of Klein-Gordon Equation with Dual-power Law Nonlinearity in Relativistic Quantum Mechanics

Anjan Biswas; Ming Song; Essaid Zerrad

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Bifurcation Analysis and Implicit Solution of Klein-Gordon Equation with Dual-power Law Nonlinearity in Relativistic Quantum Mechanics

机译：相对论量子力学中具有双幂律非线性的Klein-Gordon方程的分叉分析和隐解

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摘要

This paper focuses on the nonlinear Klein-Gordon equation with dual power law nonlinearity. The traveling wave hypothesis reveals an implicit solution in terms of Gauss' hypergeometric functions. The bifurcation analysis is subsequently carried out that gives an additional set of solutions. The phase portraits of the solutions are also given.

机译：本文重点研究具有双重幂律非线性的非线性Klein-Gordon方程。行波假说揭示了一个关于高斯超几何函数的隐式解。随后进行分叉分析，给出另外一组解决方案。还给出了解决方案的相图。

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《International journal of nonlinear sciences and numerical simulation》 |2013年第5期|共6页
作者
Anjan Biswas; Ming Song; Essaid Zerrad;
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原文格式 PDF
正文语种 eng
中图分类数值分析;
关键词
Solitons; Bifurcation; Integrability;

机译：孤子;分叉;可积性;

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1. Bifurcation Analysis and Implicit Solution of Klein-Gordon Equation with Dual-power Law Nonlinearity in Relativistic Quantum Mechanics [J] . Anjan Biswas, Ming Song, Essaid Zerrad International journal of nonlinear sciences and numerical simulation . 2013,第5期

机译：相对论量子力学中具有双幂律非线性的Klein-Gordon方程的分叉分析和隐解
2. The bifurcation and exact travelling wave solutions of (1+2)-dimensional nonlinear Schr?dinger equation with dual-power law nonlinearity [J] . Liu H., Yan F., Xu C. Nonlinear dynamics . 2012,第1期

机译：具有双幂律非线性的（1 + 2）维非线性薛定？方程的分叉和精确行波解
3. Singular soliton solution and bifurcation analysis of Klein-Gordon equation with power law nonlinearity [J] . Ming Song, Zhengrong Liu, Essaid Zerrad, Frontiers of mathematics in China . 2013,第1期

机译：幂律非线性的奇异孤子解和Klein-Gordon方程的分叉分析
4. Bifurcations of traveling wave solutions in the N-coupled nonlinear Klein-Gordon equations [C] . Si-sheng Yao, Yu-guang Xu 第五届国际非线性力学会议论文集 . 2007

机译：N耦合非线性Klein-Gordon方程中行波解的分支
5. The magnetic vector potential, Klein-Gordon equation and Klein's Paradox in relativistic quantum mechanics [D] . Schaffer, David L. 2007

机译：相对论量子力学中的磁矢量势，Klein-Gordon方程和Klein悖论
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. Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in(1+1)-Dimensions with Power Law Nonlinearity [O] . Ming Song, Bouthina S. Ahmed, Anjan Biswas 2013

机译：电力法非线性（1 + 1）-Dimensions的Klein-Gordon-Zakharov方程的拓扑孤子溶液和分叉分析

Bifurcation Analysis and Implicit Solution of Klein-Gordon Equation with Dual-power Law Nonlinearity in Relativistic Quantum Mechanics

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