Open AccessNew infinite sequences exact solutions to sine-Gordon-type equations
Author(s) -
Taogetusang
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.070203
Subject(s) - hyperbolic function , sequence (biology) , sine , transformation (genetics) , sine gordon equation , superposition principle , type (biology) , function (biology) , mathematical analysis , elliptic function , mathematics , computation , nonlinear system , soliton , physics , quantum mechanics , ecology , biochemistry , chemistry , genetics , geometry , algorithm , evolutionary biology , gene , biology
In order to obtain infinite sequence exact solutions to the sine-Gordon-type equations, the auxiliary equations of triangular function type and hyperbolic function type, Bäcklund transformation and nonlinear superposition formula of the solutions are presented. And the method is used to construct new infinite sequence exact solutions to the sine-Gordon equation, mKdV-sine-Gordon equation, (n+1)- dimensional double sine-Gordon equation and the sinh-Gordon equation with the help of symbolic computation system Mathematica, which include infinite sequence triangular function solutions, the infinite sequence hyperbolic function solutions, infinite sequence Jacobi elliptic function solutions and infinite sequence computation solutions.