%0 Journal Article %T Single soliton of double kinks of the mKdV equation and its stability
mKdV方程的双扭结单孤子及其稳定性研究 %A Shi Yu-Ren %A Zhang Juan %A Yang Hong-Juan %A Duan Wen-Shan %A
石玉仁 %A 张娟 %A 杨红娟 %A 段文山 %J 物理学报 %D 2010 %I %X 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. %K mKdV equation %K single soliton solution with double kinks %K stability
mKdV方程 %K 双扭结单孤子 %K 稳定性 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=18B168A217E9BB441B06BB65A839A9D7&yid=140ECF96957D60B2&vid=6AC2A205FBB0EF23&iid=708DD6B15D2464E8&sid=33D36AE7DB6C92B6&eid=E75F466349CD6BA9&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=22