Open AccessNew infinite sequence solutions to equations of sine-Gordon type
Author(s) -
Taogetusang,
Yi Li-Na
Publication year - 2014
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.63.210202
Subject(s) - transformation (genetics) , sine gordon equation , ordinary differential equation , sine , nonlinear system , type (biology) , partial differential equation , independent equation , sequence (biology) , differential equation , mathematical analysis , hyperbolic function , elliptic function , mathematics , physics , soliton , biochemistry , chemistry , geometry , ecology , genetics , quantum mechanics , biology , gene
The following steps are given to search for new solutions to equations of sine-Gordon type. Step one, according to function transformation, the solving of sine-Gordon equation and sinh-Gordon equation is changed into the solving of two kinds of nonlinear ordinary differential equations. Step two, two kinds of nonlinear ordinary differential equations and quasi-Bcklund transformation of the first kind of elliptic equation are obtained. Finally, new infinite sequence solutions to equations of sine-Gordon type are constructed by applying Bcklund transformation and new solutions of the first kind of elliptic equation.