Study on Lump Behavior for a New (3+1)-Dimensional Generalised Kadomtsev-Petviashvili Equation

DOI10.4208/eajam.101120.180221zbMath1479.35031OpenAlexW3164797359MaRDI QIDQ5014278

Xing Lü, Guo-Zhu Liu, Si-Jia Chen, Wen-Xiu Ma

Publication date: 1 December 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.101120.180221

zbMATH Keywords

symbolic computationlump dynamicsbilinear methoddimensionally reduced equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25) Other special methods applied to PDEs (35A25)

Related Items (2)

Framework of extended BKP equations possessing N‐wave solutions in (2+1)‐dimensions ⋮ Sasa-Satsuma type matrix integrable hierarchies and their Riemann-Hilbert problems and soliton solutions

Cites Work

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• Interaction behavior associated with a generalized \((2+1)\)-dimensional Hirota bilinear equation for nonlinear waves
• Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation
• Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients
• Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation
• Abundant exact solutions and interaction phenomena of the \((2 + 1)\)-dimensional YTSF equation

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