Analytic approximation for the soliton solution of the discrete modified KdV equation | Zendy

Yang Pei | Zendy; Yong Chen | Zendy; Zhibin Li | Zendy

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Analytic approximation for the soliton solution of the discrete modified KdV equation

Author(s) -

Yang Pei,

Yong Chen,

Zhibin Li

Publication year - 2010

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.59.3668

Subject(s) - korteweg–de vries equation , homotopy analysis method , soliton , exponential function , nonlinear system , homotopy , mathematics , series (stratigraphy) , exact solutions in general relativity , physics , mathematical analysis , pure mathematics , quantum mechanics , paleontology , biology

We extend the homotopy analysis method to solving the discrete modified KdV equation. The bright soliton solution expressed by a series of exponential functions is obtained, which agrees well with the exact solution. It indicates the validity and great potential of the homotopy analysis method in solving complicated nonlinear problems.

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