Rational solitary wave and rogue wave solutions in coupled defocusing Hirota equation

DOI10.1016/j.physleta.2016.04.033zbMath1360.35248OpenAlexW2339645602MaRDI QIDQ527362

Xin Huang

Publication date: 11 May 2017

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2016.04.033

zbMATH Keywords

modulational instabilityrogue wavecoupled defocusing Hirota equationrational solitary wave

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08)

Related Items

Computing solitary wave solutions of coupled nonlinear Hirota and Helmholtz equations, Vector multi-pole solutions in the \(r\)-coupled Hirota equation, The \(N\)th-order Darboux transformation, vector dark solitons and breathers for the coupled defocusing Hirota system in a birefringent nonlinear fiber, Higher-order rogue waves and modulation instability of the two-component derivative nonlinear Schrödinger equation, Three-component nonlinear Schrödinger equations: modulational instability, \(N\)th-order vector rational and semi-rational rogue waves, and dynamics, Solitary wave solutions of some nonlinear physical models using Riccati equation approach, The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures

Cites Work

• Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations
• Observation of rogue wave triplets in water waves
• High-order rogue waves for the Hirota equation
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation