Some new soliton solutions and dynamical behaviours of (3+1)-dimensional Jimbo-Miwa equation

DOI10.1080/00207160.2021.1998468OpenAlexW3210470027MaRDI QIDQ5093071

Houping Dai, Mengjun Li, Wei Tan, Unnamed Author

Publication date: 26 July 2022

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

Full work available at URL: https://doi.org/10.1080/00207160.2021.1998468

zbMATH Keywords

breather solutionJimbo-Miwa equationHirota's bilinear formevolution behaviour of solitons

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton solutions (35C08)

Related Items

Higher-order breather, lump and hybrid solutions of (2 + 1)-dimensional coupled nonlinear evolution equations with time-dependent coefficients

Cites Work

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• Multiple-soliton solutions for extended \((3 + 1)\)-dimensional Jimbo-Miwa equations
• Solitons and infinite dimensional Lie algebras
• Some exact and new solutions of the Nizhnik-Novikov-Vesselov equation using the Exp-function method
• New solitary wave and periodic solutions of the foam drainage equation using the exp-function method
• Lump-type solutions to the \((3+1)\)-dimensional Jimbo-Miwa equation
• Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
• Lump, mixed lump-stripe and rogue wave-stripe solutions of a \((3+1)\)-dimensional nonlinear wave equation for a liquid with gas bubbles
• Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system
• Solitons and breather waves for the generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system in fluid mechanics, ocean dynamics and plasma physics
• Water-wave symbolic computation for the Earth, Enceladus and Titan: the higher-order Boussinesq-Burgers system, auto- and non-auto-Bäcklund transformations
• Hetero-Bäcklund transformation and similarity reduction of an extended (2+1)-dimensional coupled Burgers system in fluid mechanics
• Evolution of breathers and interaction between high-order lump solutions and \(N\)-solitons (\(N \rightarrow \infty\)) for breaking soliton system
• The twin properties of rogue waves and homoclinic solutions for some nonlinear wave equations
• Vector bright solitons and their interactions of the couple Fokas-Lenells system in a birefringent optical fiber
• Evolutionary behavior of breathers and interaction solutions with \(M\)-solitons for \((2 + 1)\)-dimensional KdV system
• Lump and interaction solutions for a generalized (3 + 1)-dimensional propagation model of nonlinear waves in fluid dynamics
• Some new dynamical behaviour of double breathers and lump-N-solitons for the Ito equation
• Multiple rogue wave solutions for a variable-coefficient Kadomtsev–Petviashvili equation
• Breather, lump, shock and travelling-wave solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics
• Lax pair, binary Darboux transformations and dark-soliton interaction of a fifth-order defocusing nonlinear Schrödinger equation for the attosecond pulses in the optical fiber communication
• New lump, lump-kink, breather waves and other interaction solutions to the (3+1)-dimensional soliton equation