A Bäcklund Transformation of a Kind of Nonlinear Wave Equation
HAI Wenhua
Hu’nan Educational Institute, Changsha 410012
A Bäcklund Transformation of a Kind of Nonlinear Wave Equation
HAI Wenhua
Hu’nan Educational Institute, Changsha 410012
关键词 ：
03.40.Kf ,
02.30.+g ,
11.10.Im
Abstract ： Applying the method of canonical, transformation, we studied the nonlinear wave equation φxx - φtt = 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.
Key words ：
03.40.Kf
02.30.+g
11.10.Im
出版日期: 1993-07-01
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1993, Vol. 10 
