THERMAL SCIENCE

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Hong-Cai Ma

,

Zhen-Yun Qin

,

Ai-Ping Deng

LIE SYMMETRY AND EXACT SOLUTION OF (2+1)-DIMENSIONAL GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION WITH VARIABLE COEFFICIENTS

ABSTRACT
The simple direct method is adopted to find Non-Auto-Backlund transformation for variable coefficient non-linear systems. The (2+1)-dimensional generalized Kadomtsev-Petviashvili equation with variable coefficients is used as an example to elucidate the solution procedure, and its symmetry transformation and exact solutions are obtained.
KEYWORDS
2+1 dimensional Kadomtsev Petviashvili equation, CK direct method, symmetry, variable coefficient
PAPER SUBMITTED: 2013-03-02
PAPER REVISED: 2013-04-24
PAPER ACCEPTED: 2013-04-30
PUBLISHED ONLINE: 2013-12-28
DOI REFERENCE: https://doi.org/10.2298/TSCI1305490M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE Issue 5, PAGES [1490 - 1493]
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Lie symmetry and exact solution of (2+1)-dimensional generalized Kadomtsev-Petviashvili equation with variable coefficients

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