NEW EXACT SOLUTIONS OF SOME (2+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATIONS VIA EXTENDED KUDRYASHOV METHOD

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8 Citations (Scopus)

Abstract

In this work, we propose an extended Kudryashov method to present new exact solutions
of some nonlinear partial differential equations. The key idea of this method is to take full
advantages of the Bernoulli and the Riccati equations involving parameters. We choose the
.(2+1)-dimensional Painlev´e integrable Burgers equations and the .2C1/-dimensional Kortewegde
Vries-Burgers equation to illustrate the validity and advantages of the method. By means of
this method many new and general exact solutions have been found.
Original languageEnglish
Article number3
Pages (from-to)347-358
Number of pages12
JournalReports on Mathematical Physics
Volume74
DOIs
Publication statusPublished - 2014

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