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pro vyhledávání: '"GUNGOR, F."'
Akademický článek
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Autor:
Gungor, F.
A systematic and unified approach to transformations and symmetries of general second order linear parabolic partial differential equations is presented. Equivalence group is used to derive the Appell type transformations, specifically Mehler's kerne
Externí odkaz:
http://arxiv.org/abs/1501.01481
Akademický článek
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Heisenberg-type higher order symmetries are studied for both classical and quantum mechanical systems separable in cartesian coordinates. A few particular cases of this type of superintegrable systems were already considered in the literature, but he
Externí odkaz:
http://arxiv.org/abs/1411.6216
Autor:
Gungor, F., Ozemir, C.
Publikováno v:
J. Math. Anal. and Appl., 423, 623 - 638 (2015)
We consider a class of generalized Kuznetsov--Zabolotskaya--Khokhlov (gKZK) equations and determine its equivalence group, which is then used to give a complete symmetry classification of this class. The infinite-dimensional symmetry is used to reduc
Externí odkaz:
http://arxiv.org/abs/1402.1941
Autor:
Gungor, F.
The conditions for a generalized Burgers equation which a priori involves nine arbitrary functions of one, or two variables to allow an infinite dimensional symmetry algebra are determined. Though this algebra can involve up to two arbitrary function
Externí odkaz:
http://arxiv.org/abs/0902.4156
We give a Lie-algebraic classification of third order quasilinear equations which admit non-trivial Lie point symmetries.
Comment: The authors withdraw this article due to substantial revisions to the content
Comment: The authors withdraw this article due to substantial revisions to the content
Externí odkaz:
http://arxiv.org/abs/0802.0367
Autor:
Gungor, F., Aykanat, O.
Publikováno v:
J. Math. Phys. 47, 013510 (2006)
We compute the Lie symmetry algebra of the generalized Davey-Stewartson (GDS) equations and show that under certain conditions imposed on parameters in the system it is infinite-dimensional and isomorphic to that of the standard integrable Davey-Stew
Externí odkaz:
http://arxiv.org/abs/nlin/0606055
Autor:
Ozemir, C., Gungor, F.
Publikováno v:
J. Phys. A: Math. and Gen. V39 (2006) 2973-2993
Lie point symmetries of the 2+1-dimensional cubic Schr\"odinger equation to obtain new analytic solutions in a systematic manner. We present an analysis of the reduced ODEs, and in particular show that although the original equation is not integrable
Externí odkaz:
http://arxiv.org/abs/nlin/0507008
Publikováno v:
J. Math. Phys. 45 (2004), 2280-2313
Group classification of a class of third-order nonlinear evolution equations generalizing KdV and mKdV equations is performed. It is shown that there are two equations admitting simple Lie algebras of dimension three. Next, we prove that there exist
Externí odkaz:
http://arxiv.org/abs/nlin/0201063