Concepedia

Rogue Wave, Breathers and Bright-Dark-Rogue Solutions for the Coupled Schrödinger Equations

Boling Guo, Liming Ling

Chinese Physics Letters · 2011 · 264 citations · 10 references

DOI

Concepts

Abstract

We construct explicit rogue wave solutions, breather solitons, and rogue-bright-dark solutions for the coupled non-linear Schrödinger equations by the Darboux transformation.

References

10

Water waves, nonlinear Schrödinger equations and their solutions

D. H. Peregrine · The Journal of the Australian Mathematical Society Series B Applied Mathematics · 1983 · 1.7K citations · Full text

, , +12

Rogue waves and rational solutions of the nonlinear Schrödinger equation

Nail Akhmediev, Adrian Ankiewicz, J. M. Soto‐Crespo · Physical Review E · 2009 · 1K citations · Full text

, , +16

Oceanic Rogue Waves

K. B. Dysthe, Harald E. Krogstad, Peter Müller · Annual Review of Fluid Mechanics · 2008 · 999 citations

, , +16

Acta Mathematica Scientia

Journal of Applied Probability · 1981 · 261 citations

, , +2

Launching a Davydov Soliton: I. Soliton Analysis

Alwyn Scott · Physica Scripta · 1984 · 185 citations

, , +12