Title

Exact X-wave solutions of the hyperbolic nonlinear Schrodinger equation with a supporting potential

Authors

Authors

N. K. Efremidis; G. A. Siviloglou;D. N. Christodoulides

Comments

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Abbreviated Journal Title

Phys. Lett. A

Keywords

Physics, Multidisciplinary

Abstract

We find exact solutions of the two- and three-dimensional nonlinear Schrodinger equation with a supporting potential. We focus in the case where the diffraction operator is of the hyperbolic type and both the potential and the solution have the form of an X-wave. Following similar arguments, several additional families of exact solutions can also can be found irrespectively of the type of the diffraction operator (hyperbolic or elliptic) or the dimensionality of the problem. In particular we present two Such examples: The one-dimensional nonlinear Schrodinger equation with a stationary and a "breathing" potential and the two-dimensional nonlinear Schrodinger with a Bessel potential. (C) 2009 Elsevier B.V. All rights reserved.

Journal Title

Physics Letters A

Volume

373

Issue/Number

44

Publication Date

1-1-2009

Document Type

Article

Language

English

First Page

4073

Last Page

4076

WOS Identifier

WOS:000271144300013

ISSN

0375-9601

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