Open AccessNew infinite sequence soliton-like solutions of Camassa-Holm-r equation
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.63.120201
Subject(s) - ordinary differential equation , camassa–holm equation , transformation (genetics) , soliton , sequence (biology) , partial differential equation , function (biology) , riccati equation , first order partial differential equation , differential equation , exact differential equation , mathematical analysis , mathematics , mathematical physics , physics , integrable system , quantum mechanics , chemistry , nonlinear system , biochemistry , evolutionary biology , biology , gene
The method of combining function transformations with auxiliary equation is presented to search for new infinite sequence soliton-like solutions of Camassa-Holm-r (CH-r) equation. And many new conclusions are obtained. Step one,according to some function transformations, CH-r equation is changed into the solvable ordinary differential equation. Step two, new infinite sequence soliton-like solutions of CH-r equation are constructed by applying new solutions and Bäcklund transformation of the solvable ordinary differential equation.