Browsing by Subject "Variable coefficients"
Now showing items 1-6 of 6
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Conference Object
Development of an efficient two-phase 3D numerical wave flume
(Society of Petroleum Engineers, 2017)In the present study an efficient two-phase 3D numerical wave flume was developed, tested and validated. The most important advantage over conventional numerical wave flumes is the use of a constant coefficient Poisson ...
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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
Laplace type invariants for variable coefficient mKdV equations
(2015)We consider a class of variable-coefficient mKdV equations. We derive the equivalence transformations in the infinitesimal form and we employ them to construct differential invariants of the respective equivalence algebra. ...
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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 ...
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Article
On the invariants of two dimensional linear parabolic equations
(2012)We consider the most general two dimensional linear parabolic equations. Motivated by the recent work of Ibragimov et al. [1-3] we construct differential invariants, semi-invariants and invariant equations. These results ...