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New solitary wave solutions for the bad Boussinesq and good Boussinesq equations
Author(s) -
Jafari H.,
Borhanifar A.,
Karimi S.A.
Publication year - 2009
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.20400
Subject(s) - mathematics , hyperbolic function , boussinesq approximation (buoyancy) , sine , trigonometric functions , mathematical analysis , partial differential equation , sine wave , physics , geometry , mechanics , natural convection , rayleigh number , convection , quantum mechanics , voltage
In this article, the sine–cosine, the standard tanh and the extended tanh methods has been used to obtain solutions of the bad Boussinesq and good Boussinesq equations. New solitions and periodic solutions are formally derived. The change of parameters, that will drastically change characteristics of the equation, is examined. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2009