Some preliminaries about the integrable families of Riccati equations and solutions structure of these equations in several cases are presented in this paper, then by using of definitions for fractional derivative we apply the new extended of tanh method to the perturbed nonlinear fractional Schrodinger equation with the kerr law nonlinearity. Finally by using of this method and solutions of Ri...

The system of coupled generalized nonlinear Schrodinger equations describing the propagation pulses in a birefringent fiber is considered. Using traveling wave reduction constraints on model parameters are found, which compatibility conditions for system. Under found parameters, solutions form periodic and solitary waves obtained.

In this paper we consider smooth analogues of operators studied in connection with pointwise convergence of the solution of the free Schrr odinger equation to the given initial data. Such operators are interesting examples of oscillatory integral operators with degenerate phase functions, and we obtain sharp L 2 ! L 2 bounds. 0. Introduction. We begin this paper by giving motivation for the obj...

The particle system is affected by the Scraf II Hyperbolic potential. solution for solving Schrodinger equation with Scraff potential uses a semiclassical approach, namely using WKB approach. approach used to obtain an energy spectrum that Keywords: equation, potential,

The continuous spectrum and soliton solutions for the Boussinesq equation are investigated using the ∂̄-dressing method. Solitons demonstrate quite extraordinary behavior; they may decay or form a singularity in a finite time. Formation of singularity (collapse of solitons) for the Boussinesq equation was discovered several years ago. Systematic study of the solitonic sector is presented. © 2002...

Howard's semi-circle theorem is generalized for three-dimensional disturbances in a non-Boussinesq stratified fluid with a mean flow varying horizontally and vertically. In case of Boussinesq approximation Howard's and Rayleigh's theorem are extended for three-dimensional disturbances in a fluid with a mean flow varying only with respect to the latitude.