Synchronous Steady State Solutions of a Symmetric Mixed Cubic-Superlinear Schrödinger System

Symmetry

Riadh Chteoui¹  AbdulrahmanF. Aljohani¹  Anouar Ben Mabrouk¹ 

[1] Department of Mathematics, Faculty of Sciences, University of Tabuk, Tabuk 71491, Saudi Arabia;

关键词: steady states;    variational methods;    energy functional;    existence of solutions;    Nehari manifold;    NLS systems;   

DOI  :  10.3390/sym13020190

来源: DOAJ

【 摘 要 】

Systems of coupled nonlinear PDEs are applied in many fields as suitable models for many natural and physical phenomena. This makes them active and attractive subjects for both theoretical and numerical investigations. In the present paper, a symmetric nonlinear Schrödinger (NLS) system is considered for the existence of the steady state solutions by applying a minimizing problem on some modified Nehari manifold. The nonlinear part is a mixture of cubic and superlinear nonlinearities and cubic correlations. Some numerical simulations are also illustrated graphically to confirm the theoretical results.

【 授权许可】

Unknown