Rogue waves of a \((3+1)\)-dimensional nonlinear evolution equation

DOI10.1016/j.cnsns.2016.07.021zbMath1466.35317OpenAlexW2510606174MaRDI QIDQ2005034

Yi Zhang, Yu-Bin Shi

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.07.021

zbMATH Keywords

Hirota bilinear methodrogue waves\((3+1)\)-dimensional nonlinear evolution equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Waves for incompressible viscous fluids (76D33)

Related Items (11)

Breathers, interactions between breathers and lumps for a (3 + 1)-dimensional nonlinear evolution equation for the shallow-water waves ⋮ General high-order localized waves to the Bogoyavlenskii-Kadomtsev-Petviashvili equation ⋮ Lump and new interaction solutions to the (3+1)-dimensional nonlinear evolution equation ⋮ A new approach to investigate the nonlinear dynamics in a \((3 + 1)\)-dimensional nonlinear evolution equation via Wronskian condition with a free function ⋮ Antidark solitons and soliton molecules in a \((3 + 1)\)-dimensional nonlinear evolution equation ⋮ Rational solutions for a (3+1)-dimensional nonlinear evolution equation ⋮ Rogue wave solutions for a coupled nonlinear Schrödinger equation in the birefringent optical fiber ⋮ Lump-type wave and interaction solutions of the Bogoyavlenskii-Kadomtsev-Petviashvili equation ⋮ Fission and fusion collision of high-order lumps and solitons in a \((3+1)\)-dimensional nonlinear evolution equation ⋮ Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves ⋮ Soliton and lump-soliton solutions in the Grammian form for the Bogoyavlenskii-Kadomtsev-Petviashvili equation

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