Analytical solutions to a class of nonlinear Schrodinger equations with PT-like potentials

    Authors

    Z. H. Musslimani; K. G. Makris; R. El-Ganainy;D. N. Christodoulides

    Comments

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    Abbreviated Journal Title

    J. Phys. A-Math. Theor.

    Keywords

    COMPLEX PERIODIC POTENTIALS; NON-HERMITIAN HAMILTONIANS; REAL; EIGENVALUES; SPECTRA; DIFFRACTION; Physics, Multidisciplinary; Physics, Mathematical

    Abstract

    We present closed form solutions to a certain class of one- and two-dimensional nonlinear Schrodinger equations involving potentials with broken and unbroken PT symmetry. In the one-dimensional case, these solutions are given in terms of Jacobi elliptic functions, hyperbolic and trigonometric functions. Some of these solutions are possible even when the corresponding PT-symmetric potentials have a zero threshold. In two-dimensions, hyperbolic secant type solutions are obtained for a nonlinear Schrodinger equation with a nonseparable complex potential.

    Journal Title

    Journal of Physics a-Mathematical and Theoretical

    Volume

    41

    Issue/Number

    24

    Publication Date

    1-1-2008

    Document Type

    Article; Proceedings Paper

    Language

    English

    First Page

    12

    WOS Identifier

    WOS:000256388200020

    ISSN

    1751-8113

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