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New traveling wave solutions for higher dimensional nonlinear evolution equations using a generalized (G `/G)-expansion method
Faculty
Science
Year:
2009
Type of Publication:
Article
Pages:
Authors:
Zayed, E. M. E
DOI:
10.1088/1751-8113/42/19/195202
Journal:
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL IOP PUBLISHING LTD
Volume:
42
Research Area:
Physics
ISSN
ISI:000265815000014
Keywords :
, traveling wave solutions , higher dimensional nonlinear
Abstract:
In this paper, we construct new traveling wave solutions of some nonlinear evolution equations in mathematical physics via the (3+1)-dimensional potential-YTSF equation, the (3+1)-dimensional modified KdV-Zakharov-Kuznetsev equation, the (3+1)-dimensional Kadomtsev-Petviashvili equation and the (1+1)-dimensional KdV equation by using a generalized (G'/G)-expansion method, where G = G(xi) satisfies the Jacobi elliptic equation {[}G'(xi)](2) = P(G). Here, we assume that P(G) is a polynomial of fourth order. Many new exact solutions in terms of the Jacobi elliptic functions are obtained.
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