Browsing by Subject "Exact solutions"
Now showing items 1-6 of 6
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Article
Enhanced group analysis and exact solutions of variable coefficient semilinear diffusion equations with a power source
(2009)A new approach to group classification problems and more general investigations on transformational properties of classes of differential equations is proposed. It is based on mappings between classes of differential ...
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Article
Enhanced group classification of Benjamin–Bona–Mahony–Burgers equations
(2017)A class of the Benjamin–Bona–Mahony–Burgers (BBMB) equations with time-dependent coefficients is investigated with the Lie symmetry point of view. The set of admissible transformations of the class is described exhaustively. ...
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Article
Exact solutions of a remarkable fin equation
(2008)A model 'remarkable' fin equation is singled out from a class of nonlinear (1 + 1)-dimensional fin equations. For this equation a number of exact solutions are constructed by means of using both the classical Lie algorithm ...
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Article
Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities
(2012)The group classification of a class of variable coefficient reaction-diffusion equations with exponential nonlinearities is carried out up to both the equivalence generated by the corresponding generalized equivalence group ...
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Article
Lie group analysis of two-dimensional variable-coefficient Burgers equation
(2010)The modern group analysis of differential equations is used to study a class of two-dimensional variable coefficient Burgers equations. The group classification of this class is performed. Equivalence transformations are ...
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Article
On the classification of similarity solutions of a two-dimensional diffusion-advection equation
(2007)We consider the two-dimensional diffusion-advection equation ut = Duyy - frac(d k, d u) ux. We present the classification of Lie symmetries of this equation. For the case k(u) = u2 we give the complete list of similarity ...