Title of article
Generation solutions algorithms for the class of inhomogeneous nonlinear diffusion equations
Author/Authors
Petrova، نويسنده , , O.V. and Tychynin، نويسنده , , V.A.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
12
From page
125
To page
136
Abstract
Nonlinear diffusion equations in the class u t − f ( x ) ∂ x ( g ( x ) C ( u ) u x ) = 0 connected with constant coefficient equations which admit nonlocal mvariance or linearization by the generalized hodograph transformation are considered. Formulae for generation of solutions and formulae of nonlinear superposition for variable coefficient equations are constructed. Exact solutions of these equations are obtained.
Keywords
Nonlocal symmetries , Nonlinear superposition principle , Formulae for generation of solutions , Generalized hodograph transformation , Lie pomt symmetry
Journal title
Reports on Mathematical Physics
Serial Year
2011
Journal title
Reports on Mathematical Physics
Record number
1990451
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