Darboux Transformation and Explicit Solutions for a Generalized Sawada-Kotera Equation | Zendy

Guoliang He | Zendy; Ting Su | Zendy

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Darboux Transformation and Explicit Solutions for a Generalized Sawada-Kotera Equation

Author(s) -

Guoliang He,

Ting Su

Publication year - 2013

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.1155/2013/186376

Subject(s) - transformation (genetics) , lax pair , mathematics , soliton , darboux integral , gauge (firearms) , mathematical analysis , mathematical physics , algebra over a field , pure mathematics , integrable system , physics , quantum mechanics , nonlinear system , biochemistry , chemistry , geometry , curvature , gene , history , archaeology

A generalized Sawada-Kotera equation and its Lax pairs are proposed. With the help of the gauge transformation between spectral problems, a Darboux transformation for the generalized SK equation is constructed. As an application of the Darboux transformation, we give some explicit solutions of the generalized SK equation such as the rational solutions, soliton solutions, and periodic solutions.

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