On a new integrable nonlinear Schroedinger equation with a simple external potential and its explicit solutions

Abstract

A nonlinear Schrödinger equation with external potential $-(t+b{)}^{-1}$ is considered and its explicit solutions are constructed.

References in corpus (4)

• Simplest equation method to look for exact solutions of nonlinear differential equations
• Discrete skew selfadjoint canonical systems and the isotropic Heisenberg magnet model
• Nonlinearity Management in Higher Dimensions
• Second harmonic generation: Goursat problem on the semi-strip and explicit solutions

Cited by in corpus (2)

• Admissible Transformations and Normalized Classes of Nonlinear Schroedinger Equations
• Equivalence groupoids and group classification of multidimensional nonlinear Schrödinger equations