Browsing by Author "Güngör, Faruk"
Now showing items 1-8 of 8
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A class of multi - parameter eigenvalue problems for perturbed p-Laplacians
Güngör, Faruk; Hasansoy, Mahir (Elsevier, 2012-05-15)This paper is devoted to multi-parameter eigenvalue problems for one-dimensional perturbed p-Laplacians, modelling travelling waves for a class of nonlinear evolution PDE. Dispersion relations between the eigen-parameters, ... -
Comment on "group analysis of KdV equation with time dependent coefficients"
Güngör, Faruk (Elsevier, 2010-12-15)We show that the group classification results of the article entitled "Group analysis of KdV equation with time dependent coefficients" which appeared in (A.G. Johnpillai, M.C. Khalique, Group analysis of KdV equation with ... -
Infinite - dimensional symmetries of two - dimensional generalized Burgers equations
Güngör, Faruk (American Institute of Physics, 2010-07)The conditions for a class of generalized Burgers equations which a priori involve nine arbitrary functions of one or two variables to allow an infinite-dimensional symmetry algebra are determined. Although this algebra ... -
On integrability of variable coefficient nonlinear schrodinger equations
Özemir, Cihangir; Güngör, Faruk (World Scientific Publishing, 2012-08)We apply Painleve test to the most general variable coefficient nonlinear Schrodinger (VCNLS) equations as an attempt to identify integrable classes and compare our results versus those obtained by the use of other tools ... -
Symmetry classification of third - order nonlinear evolution equations. Part I: semi - simple algebras
Basarab - Horwath, P.; Güngör, Faruk; Lahno, V. (Springer Verlag, 2013-04)We give a complete point-symmetry classification of all third-order evolution equations of the form u (t) =F(t,x,u,u (x) ,u (xx) )u (xxx) +G(t,x,u,u (x) ,u (xx) ) which admit semi-simple symmetry algebras and extensions ... -
Symmetry classification of variable coefficient cubic-quintic nonlinear schrodinger equations
Özemir, Cihangir; Güngör, Faruk (American Institute of Physics, 2013-02)A Lie-algebraic classification of the variable coefficient cubic-quintic nonlinear Schrodinger equations involving 5 arbitrary functions of space and time is performed under the action of equivalence transformations. It ... -
A variable coefficient nonlinear Schrödinger equation with a four-dimensional symmetry group and blow-up
Güngör, Faruk; Hasansoy, Mahir; Özemir, Cihangir (Taylor & Francis, 2013-06)A canonical variable coefficient nonlinear Schrödinger equation with a four-dimensional symmetry group containing SL(2, ℝ) group as a subgroup is considered. This typical invariance is then used to transform by a symmetry ... -
Variable coefficient nonlinear Schrödinger equations with four - dimensional symmetry groups and analysis of their solutions
Özemir, Cihangir; Güngör, Faruk (AIP, 2011-09)Analytical solutions of variable coefficient nonlinear Schroumldinger equations having four-dimensional symmetry groups, which are in fact the next closest to the integrable ones occurring only when the Lie symmetry group ...
