摘要
本文求出了n维BBM方程u_i+udivu-δ△u_i=0和n维B-BBM方程u_i+udivu-μ△u-δ△u_i=0的一类指数函数的有理分式形式的准确行波解.对n维B-BBM方程的这类行波解可分解为n维Burgers方程的某行波解与n维BBM方程的某行波解的线性组合.文中还对n维KdV方程u_i+udivu+δ=0和n维B-KdV方程u_i+udivu-μ△u+δ=0给出了类似的结论.
In this paper, we obtain a class of exact travelling wave solutions with rational fraction of exponential functions for the BBM equationand the B-BBM equation,where x ∈ Rn,t≥ 0, δ > 0. This class of travelling wave solutions of the B-BBM equation in R'can be decomposed into superposition of a travelling wave solution of the Burgers equation in Rn and that of the BBM equation in Rn. Moreover, we obtain the similar conclusions for the KdV equationand the B-KdV equationwhere x ∈ Rn,t≥ 0,δ> 0.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1991年第2期282-289,共8页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
霍英东基金会资助项目
