Rogue waves in (2+1)-dimensional three-wave resonant interactions
From MaRDI portal
Publication:2670236
DOI10.1016/j.physd.2022.133160zbMath1484.35135arXiv2111.11333OpenAlexW3215729649MaRDI QIDQ2670236
Publication date: 10 March 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.11333
Transform methods (e.g., integral transforms) applied to PDEs (35A22) Soliton equations (35Q51) Soliton solutions (35C08)
Related Items
Six wave interaction equations in finite-depth gravity waves with surface tension, Novel soliton solutions for the fractional three-wave resonant interaction equations, Rogue wave patterns associated with Okamoto polynomial hierarchies, Exploring two-dimensional internal waves: a new three-coupled Davey-Stewartson system and physics-informed neural networks with weight assignment methods, The two-dimensional Leznov lattice equation and its various solutions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamic patterns of high-order rogue waves for Sasa-Satsuma equation
- Waves that appear from nowhere and disappear without a trace
- Rogue waves in the ocean
- The solution of the general initial value problem for the full three dimensional three-wave resonant interaction
- Three-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics
- Rogue waves in the nonlocal \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equation
- General high-order rogue waves to nonlinear Schrödinger-Boussinesq equation with the dynamical analysis
- Doubly localized two-dimensional rogue waves in the Davey-Stewartson I equation
- Rogue waves in the generalized derivative nonlinear Schrödinger equations
- Universal rogue wave patterns associated with the Yablonskii-Vorob'ev polynomial hierarchy
- Rogue wave patterns in the nonlinear Schrödinger equation
- High-order rogue wave solutions for the coupled nonlinear Schrödinger equations-II
- High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrödinger Equations
- Water waves, nonlinear Schrödinger equations and their solutions
- The Darboux transformation of the derivative nonlinear Schrödinger equation
- Higher-Order Solitons in the N-Wave System
- Rogue waves, rational solutions, the patterns of their zeros and integral relations
- A Method for Solvithe Separable Initial-Value Problem of the Full Three-Dimensional Three-Wave Interaction
- The lump solutions and the Bäcklund transformation for the three-dimensional three-wave resonant interaction
- Evolution in space and time of resonant wave triads - II. A class of exact solutions
- Rational solutions of the Boussinesq equation and applications to rogue waves
- Dynamics of rogue waves in the Davey–Stewartson II equation
- Three-dimensional three-wave interactions: A bilinear approach
- General rogue waves in the three-wave resonant interaction systems
- Lump chains in the KP‐I equation
- Completely resonant collision of lumps and line solitons in the Kadomtsev–Petviashvili I equation
- General rogue waves in the focusing and defocusing Ablowitz–Ladik equations
- Vector rogue waves in the Manakov system: diversity and compossibility
- Dynamics of Rogue Waves on a Multisoliton Background in a Vector Nonlinear Schrödinger Equation
- General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
- Theoretical and experimental evidence of non-symmetric doubly localized rogue waves
- Multi-rogue waves solutions: from the NLS to the KP-I equation
- Oceanic Rogue Waves
- The Propagation of Nonlinear Wave Envelopes
