A Family of Interesting Exact Solutions of the Sine-Gordon Equation

Chin. Phys. Lett.

2000, Vol. 17

Issue (1): 1-3 DOI:

Original Articles

A Family of Interesting Exact Solutions of the Sine-Gordon Equation

HUANG De-Bin;LIU Zeng-Rong;WANG Li-Lian

LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080 Mathematical Department, Shanghai University, Shanghai 201800

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HUANG De-Bin, LIU Zeng-Rong, WANG Li-Lian 2000 Chin. Phys. Lett. 17 1-3

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Abstract By using AKNS [Phys. Rev. Lett. 31 (1973) 125] system and introducing the wave function, a family of interesting exact solutions of the sine-Gordon equation are constructed. These solutions seem to be some soliton, kink, and anti-kink ones respectively for the different choice of the spectrum, whereas due to the interaction between two traveling-waves they have some properties different from usual soliton, kink, and anti-kink solutions.

Keywords: 02.30.Jr 02.30.Hq

Published: 01 January 2000

PACS:	02.30.Jr	(Partial differential equations)
	02.30.Hq	(Ordinary differential equations)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2000/V17/I1/01

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