Open AccessEXACT SOLITON SOLUTIONS OF THE VARIABLE COEFFICIENT KdV-MKdV EQUATION WITH THREE ARBITRARY FUNTIONS
Author(s) -
Zhenya Yan,
Hongqing Zhang
Publication year - 1999
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.48.1957
Subject(s) - korteweg–de vries equation , variable coefficient , sine gordon equation , variable (mathematics) , soliton , nonlinear system , ordinary differential equation , transformation (genetics) , partial differential equation , mathematical analysis , node (physics) , kadomtsev–petviashvili equation , mathematics , differential equation , characteristic equation , physics , quantum mechanics , gene , biochemistry , chemistry
In this paper,first,by using a new transformation,the variable coefficient KdV-MKdV equation is reduced to a third-order nonlinear ordinary differential equation (NODE),and then several exact soliton-solutions for the variable coefficient KdV-MKdV equatioin are obtained through considering this NODE.The method can be also used to solve other nonlinear equations,such as the variable coefficient KP equation,sine-Gordon equation and so on.