### Existence of periodic traveling-wave solutions for a nonlinear Schrödinger system: A topological approach

#### Abstract

In this paper, the existence of periodic traveling-wave solutions for

a nonlinear Schrödinger system is established using the topological degree theory for positive operators. The method guarantees existence of periodic solutions in a parameter region in the period and phase speed plane.

a nonlinear Schrödinger system is established using the topological degree theory for positive operators. The method guarantees existence of periodic solutions in a parameter region in the period and phase speed plane.

#### Keywords

Periodic traveling-wave solutions; topological degree theory; positive operators; nonlinear Schrödinger system

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