摘要
本文给出Lagrange密度函数,从而用变分原理引出了BBM方程,解析地研究了该方程的孤立波解及其互相作用,并证明了2—孤立波互相作用的近似解具孤立子性质。
In the present paper,the Lagrangian density function,from which the BBM equationcan be derived by using the variational principle, is given. The solitary wave solutionsand their interaction for the BBM equation are studied analytically. It is shown that theapproximate solution of 2-solitary wave interaction possesses soliton property.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
1993年第3期7-13,共7页
Journal of Lanzhou University(Natural Sciences)
基金
甘肃省自然科学基金
关键词
孤立波
孤立子
变分原理
BBM方程
solitary waves
solitons
variational principles
Lagrangian density function
BBM equation
