Analytical solutions to a class of nonlinear Schrodinger equations with PT-like potentials
Abbreviated Journal Title
J. Phys. A-Math. Theor.
COMPLEX PERIODIC POTENTIALS; NON-HERMITIAN HAMILTONIANS; REAL; EIGENVALUES; SPECTRA; DIFFRACTION; Physics, Multidisciplinary; Physics, Mathematical
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 of Physics a-Mathematical and Theoretical
Article; Proceedings Paper
"Analytical solutions to a class of nonlinear Schrodinger equations with PT-like potentials" (2008). Faculty Bibliography 2000s. 754.