An exactly solvable discrete PT invariant nonlinear Schrödinger-like model is introduced. It is an integrable Hamiltonian system that exhibits a nontrivial nonlinear PT symmetry. A discrete one-soliton solution is constructed using a left-right Riemann-Hilbert formulation. It is shown that this pure soliton exhibits unique features such as power oscillations and singularity formation. The propo...

Modification of truncated expansion method is used to construct exact solutions of Eckhaus equation, nonlinear Schrödinger equation and Higgs field equation. Modification of truncated expansion method is a powerful solution method for obtaining exact solutions of nonlinear evolution equations. 2000 Mathematics Subject Classification: 35Q53, 35Q80, 35Q55, 35G25.

Temporally-periodic solitons of the parametrically driven damped nonlinear Schrödinger equation – p.