Some Exact Solutions of two Coupled Nonlinear Diffusion Convection Equations

Francesco Paolo Barrera; Tommaso Brugarino

Some Exact Solutions of two Coupled Nonlinear Diffusion Convection Equations

Francesco Paolo Barrera, Tommaso Brugarino

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Abstract

The aim of the note is to apply a slightly modified version of the truncated Painlevè test to obtain a class of solutions of the system of two coupled nonlinear partial differential equations. These solutions are expressed in term of the Airy functions. We also give the travelling wave solutions, expressed in term of the trigonometric and hyperbolic functions.

Lingua originale	Undefined/Unknown
Stato di pubblicazione	Published - 2005

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title = "Some Exact Solutions of two Coupled Nonlinear Diffusion Convection Equations",

abstract = "The aim of the note is to apply a slightly modified version of the truncated Painlev{\`e} test to obtain a class of solutions of the system of two coupled nonlinear partial differential equations. These solutions are expressed in term of the Airy functions. We also give the travelling wave solutions, expressed in term of the trigonometric and hyperbolic functions.",

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T1 - Some Exact Solutions of two Coupled Nonlinear Diffusion Convection Equations

AU - Barrera, Francesco Paolo

AU - Brugarino, Tommaso

PY - 2005

Y1 - 2005

N2 - The aim of the note is to apply a slightly modified version of the truncated Painlevè test to obtain a class of solutions of the system of two coupled nonlinear partial differential equations. These solutions are expressed in term of the Airy functions. We also give the travelling wave solutions, expressed in term of the trigonometric and hyperbolic functions.

AB - The aim of the note is to apply a slightly modified version of the truncated Painlevè test to obtain a class of solutions of the system of two coupled nonlinear partial differential equations. These solutions are expressed in term of the Airy functions. We also give the travelling wave solutions, expressed in term of the trigonometric and hyperbolic functions.

UR - http://hdl.handle.net/10447/20774

M3 - Paper

ER -