Browsing by Author "Güngör, Faruk"
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A class of multi  parameter eigenvalue problems for perturbed pLaplacians
Güngör, Faruk; Hasansoy, Mahir (Elsevier, 20120515)This paper is devoted to multiparameter eigenvalue problems for onedimensional perturbed pLaplacians, modelling travelling waves for a class of nonlinear evolution PDE. Dispersion relations between the eigenparameters, ... 
Comment on "group analysis of KdV equation with time dependent coefficients"
Güngör, Faruk (Elsevier, 20101215)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, 201007)The conditions for a class of generalized Burgers equations which a priori involve nine arbitrary functions of one or two variables to allow an infinitedimensional symmetry algebra are determined. Although this algebra ... 
On integrability of variable coefficient nonlinear schrodinger equations
Özemir, Cihangir; Güngör, Faruk (World Scientific Publishing, 201208)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, 201304)We give a complete pointsymmetry classification of all thirdorder 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 semisimple symmetry algebras and extensions ... 
Symmetry classification of variable coefficient cubicquintic nonlinear schrodinger equations
Özemir, Cihangir; Güngör, Faruk (American Institute of Physics, 201302)A Liealgebraic classification of the variable coefficient cubicquintic 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 fourdimensional symmetry group and blowup
Güngör, Faruk; Hasansoy, Mahir; Özemir, Cihangir (Taylor & Francis, 201306)A canonical variable coefficient nonlinear Schrödinger equation with a fourdimensional 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, 201109)Analytical solutions of variable coefficient nonlinear Schroumldinger equations having fourdimensional symmetry groups, which are in fact the next closest to the integrable ones occurring only when the Lie symmetry group ...