摘要
运用平面动力系统的分支方法,研究了一类非线性方程的行波解,画出了在不同参数条件下的相图,证明方程存在周期行波解和周期尖波解.给出了有界波的精确的参数表达式,指出了周期尖波是周期波的极限形式,同时指出了方程不存在圈孤子解.
A class of nonlinear equation was studied in the light the theory of dynamical system and the period of bifurcation. The phase portraits were graphing. The existence and relationship of periodic wave solutions and periodic cusp wave solutions was proved. This article offered the parametric representations of this traveling solutions precisely in analytic forms. The loop soliton solution is merely visual illusion.
出处
《数学的实践与认识》
北大核心
2016年第2期241-245,共5页
Mathematics in Practice and Theory
基金
浙江省教育厅科研项目(Y201432705)
关键词
圈孤子解
周期行波解
分支
Loop soliton solution
periodic wave solution
bifurcation
