Characteristics of Rogue Waves on a Soliton Background in the General Coupled Nonlinear Schrödinger Equation
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Publication:3387699
DOI10.1088/0253-6102/71/2/152zbMath1452.35197OpenAlexW2914309619MaRDI QIDQ3387699
Publication date: 13 January 2021
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0253-6102/71/2/152
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)
Related Items (3)
On the breathers and rogue waves to a (2+1)-dimensional nonlinear Schrödinger equation with variable coefficients ⋮ Dynamics of breathers and rogue waves in scalar and multicomponent nonlinear systems ⋮ Optical solitons and modulation instability analysis of the (1 + 1)-dimensional coupled nonlinear Schrödinger equation
Cites Work
- Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrödinger Maxwell-Bloch equations
- Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
- Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model
- Linear superposition principle applying to Hirota bilinear equations
- Integrability and exact solutions of a two-component Korteweg-de Vries system
- An integrable lattice hierarchy based on suris system: \(N\)-fold Darboux transformation and conservation laws
- Dynamics of the breather waves, rogue waves and solitary waves in an extend Kadomtsev-Petviashvili equation
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation
- Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
- Generalized Darboux transformation and localized waves in coupled Hirota equations
- Interactions among different types of nonlinear waves described by the Kadomtsev-Petviashvili equation
- Vector financial rogue waves
- Persistence of rogue waves in extended nonlinear Schrödinger equations: integrable Sasa-Satsuma case
- Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations
- Breathers and multi-soliton solutions for the higher-order generalized nonlinear Schrödinger equation
- New Explicit Solitary Wave Solutions and Periodic Wave Solutions for the Generalized Coupled Hirota-Satsuma KdV System
- Super extension of Bell polynomials with applications to supersymmetric equations
- Bäcklund Transformations and Explicit Solutions of (2+1)-Dimensional Barotropic and Quasi-Geostrophic Potential Vorticity Equation
- Integrability and equivalence relationships of six integrable coupled Korteweg-de Vries equations
- EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
- Finite Symmetry Transformation Groups and Some Exact Solutions to (2+1)-Dimensional Cubic Nonlinear Schrödinger Equantion
- Characteristics of the breather and rogue waves in a (2+1)-dimensional nonlinear Schrödinger equation
- On quasi-periodic waves and rogue waves to the (4+1)-dimensional nonlinear Fokas equation
- Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method
- Consistent Riccati Expansion for Integrable Systems
- Dynamics of Rogue Waves on a Multisoliton Background in a Vector Nonlinear Schrödinger Equation
- Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation
- The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method
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