Stability of solitary-wave solutions of coupled NLS equations with power-type nonlinearities
Stability of solitary-wave solutions of coupled NLS equations with power-type nonlinearities
Abstract This paper proves existence and stability of solitary-wave solutions of a system of 2-coupled nonlinear Schrödinger equations with power-type nonlinearities arising in several models of modern physics. The existence of vector solitary-wave solutions (i.e., both components are nonzero) is established via variational methods. The set of minimizers is shown …