Researchers are currently interested in studying the dynamics of wave field a nonlinear and dispersive medium. The Nonlinear Schrödinger Equation (NLSE), which is fundamental equation that explains phenomenon, has paved way for research variety fields, including soliton scattering. However, if fields have large number components, Coupled NLSE should be considered. We used orthogonally polarised...

In this paper, we study the Cauchy problem for nonlinear Schrödinger equations with Coulomb potential $${\rm{i}}{\partial _t}u + \Delta u {K \over {\left| x \right|}}u = \lambda \right|^{p - 1}}u$$ $$1 < p \le 5\,\,{\rm{on}}\,\,{\mathbb{R}^3}$$ . Our results reveal influence of long range K∣x∣−1 on existence and scattering theories equations. particular, prove global when is attractive, i.e., K...