安徽大学学报（自然科学版）2012，Vol.36Issue(4)：37-42,6.
mKdV和mBBM方程的新型孤子解
New type soliton solutions to mKdV and mBBM equations
摘要
Abstract
Peakon solution and compacton solution are new type soliton solutions to nonlinear wave equations. In this paper, we researched two nonlinear wave equations- modified Korteweg-de Vries (mKdV) equation and modified Benjamin-Bona-Mahbny( mBBM) equation, respectively, and obtained three kinds of new type soliton solutions; peakon solutions, double-peak soliton solutions and peaked compacton solution. These results further enriched the patterns of explicit and exact solutions to mKdV and mBBM equations. The graphs of these solutions were given through numerical simulation, one of which was a double-peak solitary wave. One of three ansatz solutions proposed could also be used in many other nonlinear wave equations such as Klein-Gordon equation, φ4equation, Sine-Gordon equation and Landau-Ginzburg-Higgs equation.关键词
mKdV方程/mBBM方程/尖峰孤子解/双峰孤子解/尖峰紧孤子解Key words
mKdV equation/ mBBM equation/ peakon solution/ double-peak soliton solution/ peaked compacton solution分类
数理科学引用本文复制引用
刘煜,刘伟庆,吕卫东..mKdV和mBBM方程的新型孤子解[J].安徽大学学报（自然科学版）,2012,36(4):37-42,6.基金项目
河南电力试验研究院科研基金资助项目 （）
