Classification of the solitary waves in coupled nonlinear Schrödinger equations

Abstract

In this paper, the solitary waves in coupled nonlinear Schrodinger equations are classified into infinite families. For each of the first three families, the parameter region is specified and the parameter dependence of its solitary waves described and explained. We found that the parameter regions of these solution families are novel and irregular, and the parameter dependence of the solitary waves is sensitive. The stability of these families of solitary waves is also determined. We showed that only the family of symmetric and single-humped solitary waves is stable.