Several auxiliary equations and infinite sequence exactsolutions to nonlinear evolution equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011Publisher:Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of SciencesJournal:Acta Physica Sinica, volume 60, page 50,201 (issn: 1000-3290, eissn: 1000-3290,

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Authors: null Taogetusang;

doi: 10.7498/aps.60.050201

Several auxiliary equations and infinite sequence exactsolutions to nonlinear evolution equations

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Abstract

To seek infinite sequence exact solutions of nonlinear evolution equations, the Böcklund transformation of the solutions to some auxiliary equations and the formula of nonlinear superimposition of solutions are presented for constructing infinite sequence exact solutions to nonlinear evolution equations, which include infinite sequence Jacobi elliptic function solutions, infinite sequence hyperbolic function solutions and infinite sequence trigonomical function solutions. The method is of significance to the search into infinite sequence exact solutions of other nonlinear evolution equations.

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