Generation mechanism of high-order rogue waves via the improved long-wave limit method: NLS case
DOI10.1016/j.physleta.2022.128395OpenAlexW4294572826MaRDI QIDQ2081287
Xiangyu Yang, Qi Guo, Zhao Zhang, Abdul-Majid Wazwaz, Biao Li
Publication date: 12 October 2022
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2022.128395
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Wave front sets in context of PDEs (35A18) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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- The structure of the rational solutions to the Boussinesq equation
- A new class of nonlinear superposition between lump waves and other waves for Kadomtsev-Petviashvili I equation
- Universal rogue wave patterns associated with the Yablonskii-Vorob'ev polynomial hierarchy
- Rogue wave patterns in the nonlinear Schrödinger equation
- Families of semi-rational solutions to the Kadomtsev-Petviashvili I equation
- Families of quasi-rational solutions of the NLS equation and multi-rogue waves
- Solitons and rational solutions of nonlinear evolution equations
- Two-dimensional lumps in nonlinear dispersive systems
- Rational solutions of the Kadomtsev–Petviashvili hierarchy and the dynamics of their poles. I. New form of a general rational solution
- Rational solutions of the Boussinesq equation and applications to rogue waves
- Rogue Waves for an Alternative System of Coupled Hirota Equations: Structural Robustness and Modulation Instabilities
- Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations
- Semi-rational solutions of the third-type Davey-Stewartson equation
- Rational solutions of the KP hierarchy and the dynamics of their poles. II. Construction of the degenerate polynomial solutions
- General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
- Multi-rogue waves solutions: from the NLS to the KP-I equation
- The Propagation of Nonlinear Wave Envelopes
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