Interaction of high-order breather, periodic wave, lump, rational soliton solutions and mixed solutions for reductions of the (4+1)-dimensional Fokas equation

DOI10.1051/mmnp/2022047zbMath1514.35099OpenAlexW4308410291MaRDI QIDQ6043855

Yi Zhang, Pei Xia, Rusuo Ye

Publication date: 25 May 2023

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/2022047

zbMATH Keywords

breathermixed solutionsKP hierarchy reduction method\((3+1)\)-dimensional KP equation\((4+1)\)-dimensional Fokas equation

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton solutions (35C08)

Cites Work

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• Solitons, breathers and rogue waves for the coupled Fokas-Lenells system via Darboux transformation
• Waves that appear from nowhere and disappear without a trace
• Comment on the \(3+1\) dimensional Kadomtsev-Petviashvili equations
• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• Physical mechanisms of the rogue wave phenomenon.
• Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
• Doubly localized two-dimensional rogue waves in the Davey-Stewartson I equation
• Parameter limit method and its application in the (4+1)-dimensional Fokas equation
• Reduction in the \((4+1)\)-dimensional Fokas equation and their solutions
• Families of semi-rational solutions to the Kadomtsev-Petviashvili I equation
• Doubly localized rogue waves on a background of dark solitons for the Fokas system
• Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves
• Multiple rogue wave and breather solutions for the \((3+1)\)-dimensional KPI equation
• Lump solutions to the Kadomtsev-Petviashvili equation
• A new (3+1)-dimensional Kadomtsev-Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves
• Nonlocal symmetries related to Bäcklund transformation and their applications
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Integrable Nonlinear Evolution Partial Differential Equations in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>4</mml:mn><mml:mo>+</mml:mo><mml:mn>2</mml:mn></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>Dimensions
• Symmetry Groups and Exact Solutions of New (4+1)-Dimensional Fokas Equation
• Two-dimensional lumps in nonlinear dispersive systems
• On quasi-periodic waves and rogue waves to the (4+1)-dimensional nonlinear Fokas equation
• On three-dimensional packets of surface waves
• High-dimensional nonlinear wave transitions and their mechanisms
• General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
• Oceanic Rogue Waves
• A variety of multiple-soliton solutions for the integrable (4+1)-dimensional Fokas equation

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