Superoscillating sequences as solutions of generalized Schrödinger equations

Generalized solitary wave solutions for the Klein-Gordon-Schrödinger equations

Some new generalized solitary solutions of the Klein–Gordon–Schrödinger equations are obtained using the Exp-function method, which include some known solutions obtained by the F-expansion method and the homogeneous balance method in the open literature as special cases. It is shown that the Exp-function method is a straight, concise, reliable and promising mathematical tool for solving nonline...

Soliton Solutions for Quasilinear Schrödinger Equations

Existence of infinitely many solutions for coupled system of Schrödinger-Maxwell's equations

2 00 6 Global Existence and Scattering for Rough Solutions to Generalized Nonlinear Schrödinger Equations On

We consider the Cauchy problem for a family of semilinear defocusing Schrödinger equations with monomial nonlinearities in one space dimension. We establish global well-posedness and scattering. Our analysis is based on a four-particle interaction Morawetz estimate giving a priori Lt,x spacetime control on solutions.

Solitonlike solutions of the generalized discrete nonlinear Schrödinger equation.