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New periodic wave solutions for nonlinear evolution equations with variable coefficients via mapping method
Author(s) -
Abdou M.A.,
Abd ElGawad S.S.
Publication year - 2010
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20513
Subject(s) - mathematics , variable (mathematics) , trigonometric functions , traveling wave , nonlinear system , partial differential equation , mathematical analysis , rational function , trigonometry , symbolic computation , computation , variables , physics , geometry , algorithm , quantum mechanics , statistics
An extended mapping method with a computerized symbolic computation is used for constructing a new exact travelling wave solutions for nonlinear evolution equations arising in physics, namely, generalized Zakharov Kuznetsov equation with variable coefficients. As a result, many exact travelling wave solutions are obtained which include new periodic wave solution, trigonometric function solutions and rational solutions. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations with variable coefficients arising in mathematical physics. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010