Rogue-wave solutions of a three-component coupled nonlinear Schrodinger equation

TL;DR

This paper constructs multi-rogue-wave solutions for a three-component coupled nonlinear Schrödinger equation, revealing unique four-petaled structures with potential applications in physics fields like Bose-Einstein condensates and nonlinear fibers.

Contribution

It introduces a novel multi-rogue-wave solution with a four-petaled structure for the three-component coupled nonlinear Schrödinger equation.

Findings

Discovered four-petaled rogue-wave structures

Contrasts with eye-shaped structures in simpler systems

Potential relevance to physical systems like BECs and superfluids

Abstract

We investigate rogue-wave solutions in a three-component coupled nonlinear Schrodinger equation. With certain requirements on the backgrounds of components, we construct a multi-rogue-wave solution that exhibits a structure like a four-petaled flower in temporal-spatial distribution, in contrast to the eye-shaped structure in one-component or two-component systems. The results could be of interest in such diverse fields as Bose-Einstein condensates, nonlinear fibers, and superfluids.