Jacobi elliptic function solutions to the coupled KdV-mKdV equation | Zendy

Pan Jun-Ting | Zendy; Gong Lun-Xun | Zendy

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Jacobi elliptic function solutions to the coupled KdV-mKdV equation

Author(s) -

Pan Jun-Ting,

Gong Lun-Xun

Publication year - 2007

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.56.5585

Subject(s) - korteweg–de vries equation , elliptic function , jacobi elliptic functions , nonlinear system , function (biology) , cnoidal wave , quarter period , elliptic integral , jacobi method , elliptic rational functions , theta function , elliptic curve , mathematical analysis , mathematics , physics , partial differential equation , quantum mechanics , evolutionary biology , biology

Based on the new expansion of the first kind of elliptic function, a method for constructing Jacobi elliptic function solutions to nonlinear wave equations is p roposed. The method is applied to the coupled KdV-mKdV equation and some new Jacobi elliptic function solutions to the equation are obtained. Some specific kind s of solutions and their relevant figures are also presented.

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