A Bäcklund Transformation of a Kind of Nonlinear Wave Equation

Chin. Phys. Lett.

1993, Vol. 10

Issue (7): 389-392 DOI:

Original Articles

A Bäcklund Transformation of a Kind of Nonlinear Wave Equation

HAI Wenhua

Hu’nan Educational Institute, Changsha 410012

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HAI Wenhua 1993 Chin. Phys. Lett. 10 389-392

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Abstract Applying the method of canonical, transformation, we studied the nonlinear wave equation φ_xx - φ_tt = dF ( φ ) /dφ . A Bäcklund transformation (BT) of this equation is obtained. Combining BT of this equation with the well-known BT of sine-Gordon equation (SGE), a formula of nonlinear superposition which contains some arbitrary functions of x and t has been established. This formula leads to a kind of general solution of SGE through its some known solutions. The general soliton solutions and their properties are simply discussed.

Keywords: 03.40.Kf 02.30.+g 11.10.Im

Published: 01 July 1993

PACS:	03.40.Kf
	02.30.+g
	11.10.Im

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1993/V10/I7/0389

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