Bifurcation, Bi-instability and Area Principle for the Solitary Waves of the Nonlinear Wave Equation with Quartic Polynomial Potential
HUA Cun-Cai, LIU Yan-Zhu
Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200030
Bifurcation, Bi-instability and Area Principle for the Solitary Waves of the Nonlinear Wave Equation with Quartic Polynomial Potential
HUA Cun-Cai;LIU Yan-Zhu
Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200030
关键词 ：
02.30.Jr ,
05.45.Yv ,
02.60.Ed
Abstract ： For the nonlinear wave equation with quartic polynomial potential, bifurcation, bi-instability and solitary waves are investigated. An area principle based on the bifurcation diagram is found for the existence of bright and dark solitary waves and shock waves. The simple forms of solitary wave solutions are given by an approximate analytic method.
Key words ：
02.30.Jr
05.45.Yv
02.60.Ed
出版日期: 2002-07-01
引用本文:
HUA Cun-Cai;LIU Yan-Zhu. Bifurcation, Bi-instability and Area Principle for the Solitary Waves of the Nonlinear Wave Equation with Quartic Polynomial Potential[J]. 中国物理快报, 2002, 19(7): 885-888.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2002/V19/I7/885
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2002, Vol. 19 
