Whitham modulation theory of the defocusing AB system and its application

DOI10.1016/j.aml.2021.107795zbMath1484.35022OpenAlexW3215181304MaRDI QIDQ2077046

Ruizhi Gong, Deng-Shan Wang

Publication date: 22 February 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107795

zbMATH Keywords

Riemann problemdark solitonWhitham modulation theoryfinite-gap periodic solutionsdiscontinuous initial value problemfinite-gap averaging methodsoliton front

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Soliton solutions (35C08)

Related Items (6)

Formation of the undular bores in shallow water generalized Kaup-Boussinesq model ⋮ Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory ⋮ Localized wave solutions and mixed interaction structures in the AB system ⋮ The zero-phase solution and rarefaction wave structures for the higher-order Chen-Lee-Liu equation ⋮ Breather solutions to the AB system with non-zero background ⋮ Periodic solutions and Whitham modulation equations for the Lakshmanan-Porsezian-Daniel equation

Cites Work

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• A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations
• An example of soliton behaviour in a rotating baroclinic fluid
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
• The Sine-Gordon Equation as a Model for a Rapidly Rotating Baroclinic Fluid
• Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation
• Periodic solutions and Whitham equations for the AB system

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