Open AccessSingle soliton of double kinks of the mKdV equation and its stability
Author(s) -
Shi Yu-Ren,
Juan Zhang,
Yang Hong-Juan,
Wen-Shan Duan
Publication year - 2010
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.59.7564
Subject(s) - soliton , hyperbola , stability (learning theory) , physics , function (biology) , mathematical analysis , mathematics , quantum mechanics , nonlinear system , computer science , geometry , machine learning , evolutionary biology , biology
Based on the idea of the hyperbola function expansion method, some analytical solutions of the modified Korteweg-de Vries (mKdV) equation are obtained by introducing new expansion functions. One of the single soliton solutions has a kink-antikink structure and it reduces to a kink-like solution and bell-like solution under different limitations. The stability of the single soliton solution with double kinks is investigated numerically. The results indicate that the soliton is stable under different disturbances.