Isogroup classification and group-invariant solutions of the nonlinear diffusion-convection equation $T_t=(D_1(T)T_x)_x-D_2'(T)T_x$

DOI10.1016/S0020-7225(96)00074-2zbMath0908.76092OpenAlexW1986345252MaRDI QIDQ1388222

Publication date: 18 March 1999

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7225(96)00074-2

zbMATH Keywords

exact solutions quadratures symmetry reductions travelling wave solution isovector approach Fokas-Yortsos equation

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Diffusion and convection (76R99)

Related Items (1)

A family of analytical solutions of a nonlinear diffusion-convection equation

Cites Work

Group classification and symmetry reductions of the nonlinear diffusion- convection equation $u_ t=(D(u)u_ x)_ x-K'(u)u_ x$
On two phase filtration under gravity and with boundary infiltration: application of a bäcklund transformation
Group-Invariant Solutions of Differential Equations
On the exactly solvable equation$S_t = [ ( \beta S + \gamma )^{ - 2} S_x _x + \alpha ( \beta S + \gamma )^{ - 2} S_x $ Occurring in Two-Phase Flow in Porous Media]
Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
Nonlinear boundary value problems in science and engineering
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Isogroup classification and group-invariant solutions of the nonlinear diffusion-convection equation \(T_t=(D_1(T)T_x)_x-D_2'(T)T_x\)