TITLE:
Generalized Darboux Transformation and Rational Solutions for the Nonlocal Nonlinear Schrödinger Equation with the Self-Induced Parity-Time Symmetric Potential
AUTHORS:
Jian Chen
KEYWORDS:
Generalized Darboux Transformation, Rational Solutions, Nonlocal Nonlinear Schrödinger Equation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.5,
May
22,
2015
ABSTRACT: In this paper, I construct a generalized
Darboux transformation for the nonlocal nonlinear Schrodinger equation with the
self-induced parity-time symmetric potential. The N-order rational solution is derived by the iterative rule and it
can be expressed by the determinant form. In particular, I calculate
first-order and second-order rational solutions and obtain their figures
according to different parameters.