Browsing by Subject "Group classification"
Now showing items 1-7 of 7
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Article
Enhanced group classification of Gardner equations with time-dependent coefficients
(2015)We classify the Lie symmetries of variable coefficient Gardner equations (called also the combined KdV-mKdV equations). In contrast to the particular results presented in Molati and Ramollo (2012) we perform the exhaustive ...
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Conference Object
Group analysis of a class of nonlinear Kolmogorov equations
(Springer New York LLC, 2016)A class of (1+2)-dimensional diffusion-convection equations (nonlinear Kolmogorov equations) with time-dependent coefficients is studied with Lie symmetry point of view. The complete group classification is achieved using ...
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Article
Group analysis of Benjamin - Bona - Mahony equations with time dependent coefficients
(2015)Group classification of a class of Benjamin-Bona-Mahony (BBM) equations with time dependent coefficients is carried out. Two equivalent lists of equations possessing Lie symmetry extensions are presented: up to point ...
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Article
Group analysis of variable coefficient diffusion-convection equations. I. Enhanced group classification
(2010)We discuss the classical statement of group classification problem and some its extensions in the general case. After that, we carry out the complete extended group classification for a class of (1 + 1)-dimensional nonlinear ...
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Article
Group classification of a class of equations arising in financial mathematics
(2010)We provide a group classification of a class of nonlinearisable evolution partial differential equations which arise in Financial Mathematics. Sixteen different cases are identified for the general problem and another seven ...
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Article
Lie symmetries of generalized Burgers equations: application to boundary-value problems
(2015)There exist several approaches exploiting Lie symmetries in the reduction of boundary-value problems for partial differential equations modelling real-world phenomena to those problems for ordinary differential equations. ...
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Article
Numerical solutions of boundary value problems for variable coefficient generalized KdV equations using Lie symmetries
(2014)The exhaustive group classification of a class of variable coefficient generalized KdV equations is presented, which completes and enhances results existing in the literature. Lie symmetries are used for solving an initial ...