Open AccessHomotopic mapping solution of soliton for perturbed KdV equation
Author(s) -
Mo Jia-Qi,
Yao Jing-sun
Publication year - 2008
Publication title -
wuli xuebao
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.