%0 Journal Article %T The single solitary wave with double peaks of the coupled KdV equation and its stability
耦合KdV方程的双峰孤立子及其稳定性 %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 2011 %I %X We obtained six classes of exact solutions for the coupled KdV equation by the extended hyperbola function expansion Method.One of the solutions is a solitary wave solution, which has two peaks.This solution is reduced to the kink or bell-like soliton solution of the coupled KdV equation under different limitations. We also investigated the stability of the single solitary wave solution with double peaks numerically.The results indicate that the solution is stable when the amplitude of the disturbance, which has long wave length, and is very small. %K coupled KdV equation %K single soliton with double peaks %K stability
耦合KdV方程 %K 双峰孤立子 %K 稳定性 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=808813BB7D898B40A0B59C2733A9DCE4&yid=9377ED8094509821&vid=BFE7933E5EEA150D&iid=0B39A22176CE99FB&sid=02A03462EC3BD3CA&eid=4011B4B31A73F826&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=35