New infinite sequence soliton-like solutions of Camassa-Holm-r equation | Zendy

Taogetusang | Zendy; Yi Li-Na | Zendy

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New infinite sequence soliton-like solutions of Camassa-Holm-r equation

Author(s) -

Taogetusang,

Yi Li-Na

Publication year - 2014

Publication title -

acta physica sinica

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.

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