Homotopic mapping solution of soliton for perturbed KdV equation | Zendy

Mo Jia-Qi | Zendy; Yao Jing-sun | Zendy

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Homotopic mapping solution of soliton for perturbed KdV equation

Author(s) -

Mo Jia-Qi,

Yao Jing-sun

Publication year - 2008

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.57.7419

Subject(s) - korteweg–de vries equation , soliton , nonlinear system , mathematics , class (philosophy) , mathematical analysis , mathematical physics , physics , computer science , quantum mechanics , artificial intelligence

Using the homotopic mapping method, a class of nonlinear KdV(Korteweg de Vries) equation is considered. Firstly, by introducing a homotopic transform, the problem of solving soliton for the corresponding equation is changed into a problem of mapping transform. Then on account of the property of the homotopic mapping, the approximate solution of soliton for the original equation is obtained.

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