High order rational solitons and their dynamics of the 3-wave resonant interaction equation

DOI10.1016/J.PHYSD.2022.133287zbMath1490.35095OpenAlexW4224903500MaRDI QIDQ2140121

Gui Mu, Zhen-Yun Qin

Publication date: 20 May 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2022.133287

zbMATH Keywords

3WRI equationgeneralized Darboux-dressing transformationrational solitons

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton solutions (35C08)

Related Items (2)

Hybrid structures of localized waves for the coupled extended mKdV equation ⋮ Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds

Cites Work

• Dynamic patterns of high-order rogue waves for Sasa-Satsuma equation
• Multi-rogue waves and rational solutions of the coupled nonlinear Schrödinger equations
• Higher-order rogue wave solutions to the Kadomtsev-Petviashvili 1 equation
• Intricate dynamics of rogue waves governed by the Sasa-Satsuma equation
• Exact solutions of the 3-wave resonant interaction equation
• Two spatial dimensional N-rogue waves and their dynamics in Mel'nikov equation
• Water waves, nonlinear Schrödinger equations and their solutions
• Solitons and rational solutions of nonlinear evolution equations
• The loop rogue wave solutions for the Wadati–Konno–Ichikawa equation
• The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures
• Dynamics of Rogue Waves on a Multisoliton Background in a Vector Nonlinear Schrödinger Equation

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