Open AccessConstruction of new infinite sequence complexion soliton-like solutions of nonlinear evolution equations
Author(s) -
Taogetusang
Publication year - 2013
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.62.070202
Subject(s) - riccati equation , superposition principle , constant (computer programming) , sequence (biology) , mathematical analysis , soliton , ordinary differential equation , transformation (genetics) , differential equation , mathematics , quadratic equation , nonlinear system , constant coefficients , partial differential equation , wave equation , function (biology) , linear differential equation , physics , quantum mechanics , computer science , geometry , evolutionary biology , biology , gene , genetics , programming language , biochemistry , chemistry
The G'(ξ)/G(ξ) expansion method is further studied for constructing new infinite sequence complexion soliton-like solutions of nonlinear evolution equations. First, to solve a linear ordinary differential equation with constant coefficients of second order is changed into the solving of one unknown quadratic equation and Riccati equation by a function transformation. Then a nonlinear superposition formula of the solutions to Riccati equation is presented to seek new infinite sequence complexion solutions of a second order linear ordinary differential equation with constant coefficients. Based on this, the new infinite sequence complexion soliton-like solutions to (2+1)-dimensional modified dispersive water wave system and (2+1)-dimensional dispersive long-wave equation are obtained with the help of symbolic computation system Mathematica.