Z Yan - Applied Mathematics Letters, 2015 - Elsevier
We introduce a new unified two-parameter {(ϵ x, ϵ t)| ϵ x, t=±1} wave model (simply called Q ϵ x, ϵ t (n) model), connecting integrable local and nonlocal vector nonlinear Schrödinger …
Two-dimensional parity-time (PT) symmetric potentials are introduced, which allow the existence of spatial solitons in the model of the strongly nonlocal nonlinear Schrödinger …
F Yu, R Fan - Applied Mathematics Letters, 2020 - Elsevier
We develop a nonstandard bilinearization procedure to generate more general bright soliton, breather soliton and quasi-rogue wave solutions for the PT-symmetric coupled …
Z Yan - Applied Mathematics Letters, 2016 - Elsevier
A family of new one-parameter (ϵ x=±1) nonlinear wave models (called G ϵ x (nm) model) is presented, including both the local (ϵ x= 1) and new integrable nonlocal (ϵ x=− 1) general …
We report branches of explicit expressions for nonlinear modes in parity-time (PT)-symmetric potentials of several types. For the single-well and double-well potentials the found solutions …
We derive analytical spatial soliton solutions of a (2+ 1)-dimensional nonlinear Schrödinger equation with power-law nonlinearity in PT PT-symmetric potentials. The stability of these …
The existence of localized modes supported by the PT-symmetric nonlinear lattices is reported. The system considered reveals unusual properties: unlike other typical dissipative …
A new integrable nonlocal nonlinear Schrödinger equation is introduced. It possesses a Lax pair and an infinite number of conservation laws and is PT symmetric. The inverse scattering …
A Khare, SM Al-Marzoug, H Bahlouli - Physics Letters A, 2012 - Elsevier
We investigate the effect of competing nonlinearities on beam dynamics in PT-symmetric potentials. In particular, we consider the stationary nonlinear Schrödinger equation (NLSE) …