Singularity analysis of spherical Kadomtsev-Petviashvili equation

Download

index.pdf

Date

2005-02-01

Author

Karasu, Emine Ayşe

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

89
views

0
downloads

The (2 + 1)-dimensional spherical Kadomtsev-Petviashvili (SKP) equation of J.-K. Xue [Phys. Lett. A 314 (2003) 479] fails the Painleve test for integrability at the highest resonance, where a nontrivial compatibility condition for recursion relations appears. This compatibility condition, however, is sufficiently weak and thus allows the SKP equation to possess an integrable (1 + 1)-dimensional reduction, which is found by the method of truncated singular expansion.

Subject Keywords

General Physics and Astronomy

URI

https://hdl.handle.net/11511/56802

Journal

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN

DOI

https://doi.org/10.1143/jpsj.74.505

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit Aydogdu, Oktay; Sever, Ramazan (Elsevier BV, 2010-02-01) We investigate the exact solution of the Dirac equation for the Mie-type potentials under the conditions of pseudospin and spin symmetry limits. The bound state energy equations and the corresponding two-component spinor wave functions of the Dirac particles for the Mie-type potentials with pseudospin and spin symmetry are obtained. We use the asymptotic iteration method in the calculations. Closed forms of the energy eigenvalues are obtained for any spin-orbit coupling term K. We also investigate the energ...
Singular potentials and moving boundaries in 3D Yuce, C (Elsevier BV, 2004-02-16) In this Letter, the problem of a spinless particle under the time-dependent harmonic oscillator potential and a singular potential with a moving boundary is studied in the spherical coordinates. Some transformations are used to transform the moving boundary conditions to the fixed boundary conditions. An exact solution is constructed.
Effective polar potential in the central force Schrodinger equation Shikakhwa, M. S.; Mustafa, M. (IOP Publishing, 2010-01-01) The angular part of the Schrodinger equation for a central potential is brought to the one-dimensional 'Schrodinger form' where one has a kinetic energy plus potential energy terms. The resulting polar potential is seen to be a family of potentials characterized by the square of the magnetic quantum number m. It is demonstrated that this potential can be viewed as a confining potential that attempts to confine the particle to the xy-plane, with a strength that increases with increasing m. Linking the soluti...
Exact solution of the Klein-Gordon equation for the PT-symmetric generalized Woods-Saxon potential by the Nikiforov-Uvarov method Ikhdair, Sameer M.; Sever, Ramazan (Wiley, 2007-03-01) The exact solution of the one-dimensional Klein-Gordon equation of the PT-symmetric generalized Woods-Saxon potential is obtained. The exact energy eigenvalues and wavefunctions are derived analytically by using the Nikiforov and Uvarov method. In addition, the positive and negative exact bound states of the s-states are also investigated for different types of complex generalized Woods-Saxon potentials. (C) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Effective Mass Schrodinger Equation via Point Canonical Transformation Arda, Altug; Sever, Ramazan (IOP Publishing, 2010-07-01) Exact solutions of the effective radial Schrodinger equation are obtained for some inverse potentials by using the point canonical transformation. The energy eigenvalues and the corresponding wave functions are calculated by using a set of mass distributions.

Citation Formats

E. A. Karasu, “Singularity analysis of spherical Kadomtsev-Petviashvili equation,” JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, pp. 505–507, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56802.