Open AccessExplicit and exact solutions to the variable coefficient combined KdV equation with forced term
Author(s) -
Dianchen Lu,
Baojian Hong,
Tian Li
Publication year - 2006
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.55.5617
Subject(s) - variable coefficient , korteweg–de vries equation , variable (mathematics) , term (time) , mathematics , riccati equation , mathematical analysis , exact solutions in general relativity , differential equation , physics , quantum mechanics , nonlinear system
By constructing two new Riccati equations and using the generalized Riccati method, we simplified the form and enriched the general results.Using Mathematica software, exact solutions of the variable coefficient combined KdV equation with forced term are obtained, including many kinds of solitary-wave-like solutions,guasi-periodical solutions and solitary wave solutions with variable speed.