Bifurcation, Bi-instability and Area Principle for the Solitary Waves of the Nonlinear Wave Equation with Quartic Polynomial Potential

Chin. Phys. Lett.

2002, Vol. 19

Issue (7): 885-888 DOI:

Original Articles

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

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HUA Cun-Cai, LIU Yan-Zhu 2002 Chin. Phys. Lett. 19 885-888

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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.

Keywords: 02.30.Jr 05.45.Yv 02.60.Ed

Published: 01 July 2002

PACS:	02.30.Jr	(Partial differential equations)
	05.45.Yv	(Solitons)
	02.60.Ed	(Interpolation; curve fitting)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2002/V19/I7/0885

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