Open AccessTransplantation method of solutions and the solutions of a coupled VCmKdV equation with source
Author(s) -
Jing Yang,
Mao Jie-Jian
Publication year - 2009
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.58.3611
Subject(s) - korteweg–de vries equation , transplantation , constant (computer programming) , mathematics , variable (mathematics) , nonlinear system , transformation (genetics) , burgers' equation , variable coefficient , mathematical analysis , physics , computer science , partial differential equation , medicine , surgery , biochemistry , chemistry , quantum mechanics , gene , programming language
According to the comparability of the nonlinear terms and dispersion terms between the variable coefficient modified Korteweg-de Vries VCmKdV equation and constant coefficient KdV-mKdV equation, we transform properly the KdV-mKdV equation with known solutions, transplant its solutions to the VCmKdV equation with unknown solutions, and thus construct the transplantation relation between the solutions of two different equations. Utilizing this transplantation method of solutions, we obtain new exact solutions and solitary wave-like solutions of the coupled VCmKdV system, which is derived from a two-layer fluid model with source or sink. Then we compare the Bcklund transformation and this transplantation method, and analyse the influence of source and sink on the amplitude.