Characteristics of rogue waves on a periodic background for the Hirota equation
From MaRDI portal
Publication:2229594
DOI10.1016/j.wavemoti.2019.102454OpenAlexW2986605042WikidataQ126787804 ScholiaQ126787804MaRDI QIDQ2229594
Shou-Fu Tian, Xiu-Bin Wang, Wei-Qi Peng, Tian-Tian Zhang
Publication date: 18 February 2021
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.wavemoti.2019.102454
Jacobian elliptic functionDarboux transformationHirota equationperiodic eigenfunctionsrogue dn-periodic waves
Related Items (24)
Rogue wave solutions for the generalized fifth-order nonlinear Schrödinger equation on the periodic background ⋮ Breathers, rogue waves and breather-rogue waves on a periodic background for the modified nonlinear Schrödinger equation ⋮ Breathers on elliptic function background for a generalized nonlinear Schrödinger equation with higher-order terms ⋮ Soliton resolution for the complex short pulse equation with weighted Sobolev initial data in space-time solitonic regions ⋮ Periodic travelling waves and rogue waves for the higher-order modified Korteweg-de Vries equation ⋮ The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: inverse scattering transform and multisoliton solutions ⋮ Solitons, breathers and rational solutions for a (2+1)-dimensional dispersive long wave system ⋮ Rogue periodic waves in the fifth-order Ito equation ⋮ Hybrid structures of localized waves for the coupled extended mKdV equation ⋮ Rational soliton solutions in the nonlocal coupled complex modified Korteweg-de Vries equations ⋮ The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation ⋮ Rogue waves for the Hirota equation on the Jacobi elliptic cn-function background ⋮ Rogue waves, modulation instability of the \((2+1)\)-dimensional complex modified Korteweg-de Vries equation on the periodic background ⋮ Jacobian-elliptic-function and rogue-periodic-wave solutions of a fifth-order nonlinear Schrödinger equation in an optical fiber ⋮ Rogue waves of the sixth-order nonlinear Schrödinger equation on a periodic background ⋮ Rogue waves of the fifth-order Ito equation on the general periodic travelling wave solutions background ⋮ Multi-breather and high-order rogue waves for the quintic nonlinear Schrödinger equation on the elliptic function background ⋮ Rogue waves on the periodic background in the complex modified KdV equation with higher-order effects ⋮ Solutions on the periodic background and transition state mechanisms for the higher-order Chen-Lee-Liu equation ⋮ Formation of rogue waves on the periodic background in a fifth-order nonlinear Schrödinger equation ⋮ Lax representation and Darboux solutions of the classical Painlevé second equation ⋮ PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background ⋮ LIE SYMMETRY ANALYSIS TO FISHER'S EQUATION WITH TIME FRACTIONAL ORDER ⋮ Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background
Cites Work
- Unnamed Item
- Dust ion-acoustic rogue waves in a three-species ultracold quantum dusty plasmas
- Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrödinger Maxwell-Bloch equations
- Rogue waves in the ocean
- Dynamical behaviour of rogue wave solutions in a multi-component AB system
- A second Wronskian formulation of the Boussinesq equation
- Analysis on lump, lumpoff and rogue waves with predictability to the \((2 + 1)\)-dimensional B-type Kadomtsev-Petviashvili equation
- Long-time asymptotics for the Hirota equation on the half-line
- Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation
- The exact rogue wave recurrence in the NLS periodic setting via matched asymptotic expansions, for 1 and 2 unstable modes
- Generalized Darboux transformation and localized waves in coupled Hirota equations
- Vector financial rogue waves
- Higher-order rational solutions for a new integrable nonlocal fifth-order nonlinear Schrödinger equation
- Modulational instability and higher order-rogue wave solutions for the generalized discrete Hirota equation
- Localized modes of the Hirota equation: \(N\)th order rogue wave and a separation of variable technique
- Breather waves and rational solutions in the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
- Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background
- Exact solutions of the Hirota equation and vortex filaments motion
- Integrable turbulence generated from modulational instability of cnoidal waves
- Integrable turbulence and formation of rogue waves
- Nonlinearizations of spectral problems of the nonlinear Schrödinger equation and the real-valued modified Korteweg–de Vries equation
- Finite‐Dimensional Integrable Hamiltonian Systems Related to the Nonlinear Schrödinger Equation
- Rogue periodic waves of the focusing nonlinear Schrödinger equation
- Characteristics of the breather and rogue waves in a (2+1)-dimensional nonlinear Schrödinger equation
- Rogue periodic waves of the modified KdV equation
- Dynamical criteria for rogue waves in nonlinear Schrödinger models
- Rogue wave management in an inhomogeneous Nonlinear Fibre with higher order effects
- Exact envelope-soliton solutions of a nonlinear wave equation
This page was built for publication: Characteristics of rogue waves on a periodic background for the Hirota equation