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Classical Symmetries and Painleve Analysis for the (1+3) Kudryashov-Sinelshchikov Equation
Amlan K Halder, Rajeswari Seshadri, A Paliathanasis +1
The integrability of the Kudryashov-Sinelshchikov equation in (1+3) dimension is detected using its point symmetries and the Singularity analysis method. The symmetries mostly poin…
Similarity transformations and linearization for a family of dispersionless integrable PDEs
Andronikos Paliathanasis
We apply the theory of Lie point symmetries for the study of a family of partial differential equations which are integrable by the hyperbolic reductions method and are reduced to…
Lie symmetries and similarity solutions for a family of 1+1 fifth-order partial differential equations
Andronikos Paliathanasis
We apply the theory of infinitesimal transformations for the study of a family of 1+1 fifth-order partial differential equations which have been proposed before for the description…
Singularity analysis and analytic solutions for the Benney-Gjevik equations
Andronikos Paliathanasis, Genly Leon, P. G. L. Leach
We apply the Painlevé Test for the Benney and the Benney-Gjevik equations which describe waves in falling liquids. We prove that these two nonlinear 1+1 evolution equations pass th…
Symmetry Analysis for a Fourth-order Noise-reduction Partial Differential Equation
Andronikos Paliathanasis, P. G. L. Leach
We apply the theory of Lie symmetries in order to study a fourth-order evolutionary partial differential equation which has been proposed for the image processing noise reduc…
Lie Symmetries and Similarity transformations for the Generalized Boiti-Leon-Pempinelli equations
K. Krishnakumar, A. Durga Devi, A. Paliathanasis
We perform a detailed classification of the Lie point symmetries and of the resulting similarity transformations for the Generalized Boiti-Leon-Pempinelli equations. The latter equ…