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Toplam kayıt 6, listelenen: 1-6
Analytical solution of D-dimensional radial Schrödinger equation for sextic potential by the extended Nikiforov–Uvarov method and biconfluent Heun polynomials
(2019)
D-dimensional radial Schrödinger equation (SE) for sextic potential is solved using the extended Nikiforov–Uvarov method analytically. Energy eigenvalue and eigenfunction solutions are achieved systematically. It is ...
Analytical solutions of conformable time, space, and time–space fractional KdV equations
(2018)
In this study, we consider the Korteweg–de Vries (KdV) equation for solitary waves in the domain ofconformable fractional calculus. By means of this fractional theory, we obtain exact solutions for time, space, andtime–space ...
Analytical solution of the local fractional Klein-Gordon equation for generalized Hulthen potential
(Scientific Technical Research Council Turkey-Tubitak, 2017)
The one-dimensional Klein Gordon (KG) equation is investigated in the domain of conformable fractional calculus for one-dimensional scalar potential, namely generalized Hulthen potential. The conformable fractional calculus ...
Analytical solution of the Dirac equation for the hyperbolic potential by the extended Nikiforov-Uvarov method
(Springer Heidelberg, 2019)
The eigenstate solutions of the Dirac equation for the hyperbolic-type potential field in the case of pseudospin symmetry have been achieved by the extended Nikiforov-Uvarov (NU) method analytically. It is presented that ...
Solution of Schrodinger equation for two different potentials using extended Nikiforov-Uvarov method and polynomial solutions of biconfluent Heun equation
(Amer Inst Physics, 2018)
Exact solutions of the Schrodinger equation for two different potentials are presented by using the extended Nikiforov-Uvarov method. The first one is the inverse square root potential which is a long-range potential and ...
Solutions of local fractional sine-Gordon equations
(Taylor & Francis Ltd, 2019)
In this paper, we study sine-Gordon equation in order to obtain exact solitary wave solutions in the domain of fractional calculus. By using the definition of conformable fractional derivative, we obtain analytical solutions ...