Title

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

Authors

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

DOI Link

http://dx.doi.org/10.1088/1751-8113/41/24/244019

Language

English

First Page

12

WOS Identifier

WOS:000256388200020

ISSN

1751-8113

Recommended Citation

"Analytical solutions to a class of nonlinear Schrodinger equations with PT-like potentials" (2008). Faculty Bibliography 2000s. 754.
https://stars.library.ucf.edu/facultybib2000/754