EXACT SOLITON SOLUTIONS OF THE VARIABLE COEFFICIENT KdV-MKdV EQUATION WITH THREE ARBITRARY FUNTIONS | Zendy

Zhenya Yan | Zendy; Hongqing Zhang | Zendy

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EXACT SOLITON SOLUTIONS OF THE VARIABLE COEFFICIENT KdV-MKdV EQUATION WITH THREE ARBITRARY FUNTIONS

Author(s) -

Zhenya Yan,

Hongqing Zhang

Publication year - 1999

Publication title -

acta physica sinica

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.

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