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New Multiple Solution to the Boussinesq Equation and the Burgers-Like Equation
Author(s) -
Hasan Bulut,
Münevver Tuz,
Tolga Aktürk
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/952614
Subject(s) - burgers' equation , riccati equation , mathematics , hyperbolic function , function (biology) , boussinesq approximation (buoyancy) , mathematical analysis , exact differential equation , partial differential equation , first order partial differential equation , physics , thermodynamics , convection , natural convection , evolutionary biology , rayleigh number , biology
By considering an improved tanh function method, we found some exact solutions of Boussinesq and Burgers-like equations. The main idea of this method is to take full advantage of the Riccati equation which has more new solutions. We found some exact solutions of the Boussinesq equation and the Burgers-like equation

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