Open AccessSOLITON SOLUTIONS OF PERIURBED BURGERS-KdV EQUATION
Author(s) -
Hai Wang,
Yi Xiao
Publication year - 1996
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.45.587
Subject(s) - soliton , korteweg–de vries equation , physics , burgers' equation , dissipative soliton , space (punctuation) , mathematical physics , order (exchange) , dissipation , sine gordon equation , classical mechanics , quantum electrodynamics , quantum mechanics , partial differential equation , nonlinear system , linguistics , philosophy , finance , economics
In this paper , we have studied a perturbed Burgers-Korteweg-de Vries equation ut+uux+βuxxx=εuxx,|ε|?1, Under first order approximation and travelling wave case, the direct perturba-tion method to find the general solution is established. By means of the single soliton solution of the zeroth order equation we have obtained the general soliton solution of the first order equation. It con-tains many diferent soliton solutions and any one of them describes an array of solitons in semi-infinite space. The analyses show that the dissipation e makes the bright soliton the lower and narrower and the dark soliton the shallower and narrower than unperturbed KdV soliton.