Title

Analytical Solutions To A Class Of Nonlinear Schrödinger Equations With Pt -Like Potentials

Abstract

We present closed form solutions to a certain class of one- and two-dimensional nonlinear Schrödinger 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 Schrödinger equation with a non-separable complex potential. © 2008 IOP Publishing Ltd.

Publication Date

6-20-2008

Publication Title

Journal of Physics A: Mathematical and Theoretical

Volume

41

Issue

24

Number of Pages

-

Document Type

Article

Personal Identifier

scopus

DOI Link

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

Socpus ID

48249099357 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/48249099357

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