Lump, lumpoff, rogue wave, breather wave and periodic lump solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics

DOI10.1080/00207160.2019.1704741zbMath1483.35166OpenAlexW2994868534WikidataQ126553408 ScholiaQ126553408MaRDI QIDQ5031183

Ze Zhang, He-Yuan Tian, Meng Wang, Xue-Hui Zhao, Bo Tian, Qi-Xing Qu

Publication date: 18 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2019.1704741

zbMATH Keywords

plasma physicsfluid mechanicsbreather waves\((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equationinfluence of the perturbed effects and disturbed wave velocities along the transverse spatial coordinateslumpoffperiodic lump

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Generalized solutions to partial differential equations (35D99)

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Cites Work

• Bäcklund transformation, infinite conservation laws and periodic wave solutions of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles
• Bilinear formalism, lump solution, lumpoff and instanton/rogue wave solution of a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation
• Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]
• Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
• Analysis on lump, lumpoff and rogue waves with predictability to the \((2 + 1)\)-dimensional B-type Kadomtsev-Petviashvili equation
• Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation
• On the solitary waves, breather waves and rogue waves to a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
• Solitary waves, homoclinic breather waves and rogue waves of the (3 + 1)-dimensional Hirota bilinear equation
• Lump solutions to the Kadomtsev-Petviashvili I equation with a self-consistent source
• Periodic, breather and rogue wave solutions for a generalized \((3+1)\)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics
• General propagation lattice Boltzmann model for a variable-coefficient compound KdV-Burgers equation
• Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation
• Lump and lump-soliton solutions to the Hirota-Satsuma-Ito equation
• Lump solutions of a generalized Calogero-Bogoyavlenskii-Schiff equation
• On the Quasi-Periodic Wave Solutions and Asymptotic Analysis to a (3+1)-Dimensional Generalized Kadomtsev—Petviashvili Equation
• Exact envelope-soliton solutions of a nonlinear wave equation

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