Higher-order breather and interaction solutions to the \((3 + 1)\)-dimensional Mel'nikov equation

DOI10.1016/J.WAVEMOTI.2024.103395MaRDI QIDQ6632940

Xiaolin Yang, Wenjing Li, Yi Zhang

Publication date: 5 November 2024

Published in: Wave Motion (Search for Journal in Brave)

zbMATH Keywords

interaction solutionsbreather solutionsKP hierarchy reduction method\((3+1)\)-dimensional Mel'nikov equation

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Cites Work

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• Dynamics of rogue waves in the Davey–Stewartson II equation
• Bound‐state soliton and rogue wave solutions for the sixth‐order nonlinear Schrödinger equation via inverse scattering transform method
• Inelastic interaction solutions between multiple-lump molecule and kink solitons of the (2+1)-dimensional BKP equation
• \(H\)-breather solutions, inelastic interactions of the lumps and resonant interactions of the breathers for a \((2+1)\)-dimensional nonlinear evolution equation
• Nonlinear localized waves and their interactions for a \((2+1)\)-dimensional extended Bogoyavlenskii-Kadomtsev-Petviashvili equation in a fluid
• Families of exact solutions of a generalized \((2+1)\)-dimensional Boussinesq type equation

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