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

    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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