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

作者:Musslimani Ziad H*; Makris Konstantinos G; El Ganainy Ramy; Christodoulides Demetrios N
来源:Journal of Physics A-Mathematical and Theoretical, 2008, 41(24): 244019.
DOI:10.1088/1751-8113/41/24/244019

摘要

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.

  • 出版日期2008-6-20