Mixed lump-stripe, bright rogue wave-stripe, dark rogue wave-stripe and dark rogue wave solutions of a generalized Kadomtsev-Petviashvili equation in fluid mechanics

DOI10.1016/J.CJPH.2019.05.001OpenAlexW2944650371WikidataQ127940394 ScholiaQ127940394MaRDI QIDQ6120291

Ze Zhang, Yan Sun, Bo Tian, Meng Wang, Hui-Min Yin

Publication date: 25 March 2024

Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cjph.2019.05.001

zbMATH Keywords

fluidrogue wavestripe solitonlump\((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equationfission and fusion

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Representations of solutions to partial differential equations (35Cxx) Incompressible inviscid fluids (76Bxx)

Related Items (12)

Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics ⋮ Darboux transformation and novel solitons of a coupled system ⋮ Bilinear auto-Bäcklund transformations and similarity reductions for a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system in fluid mechanics and lattice dynamics ⋮ Coupled self-similar-traveling optical wave tunneling induced by an injected light beam ⋮ Lump-type solution and breather lump-kink interaction phenomena to a \(( 3+1)\)-dimensional GBK equation based on trilinear form ⋮ Hetero-Bäcklund transformation, bilinear forms and \(N\) solitons for a generalized three-coupled Korteweg-de Vries system ⋮ Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons ⋮ Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves ⋮ Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves ⋮ Investigation on the single and multiple dromions for nonlinear telegraph equation in electrical transmission line ⋮ Soliton and lump-soliton solutions in the Grammian form for the Bogoyavlenskii-Kadomtsev-Petviashvili equation ⋮ \(M\) lump and interaction between \(M\) lump and \(N\) stripe for the third-order evolution equation arising in the shallow water

Cites Work

• 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]
• Physical mechanisms of the rogue wave phenomenon.
• Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
• The \(N\)-loop soliton solutions for \((2+1)\)-dimensional Vakhnenko equation
• Multiple-lump waves for a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation arising from incompressible fluid
• Lump solitons and the interaction phenomena of them for two classes of nonlinear evolution equations
• The wrinkle-like N-solitons for the thermophoretic motion equation through graphene sheets
• Lump solutions to the Kadomtsev-Petviashvili equation
• On the Quasi-Periodic Wave Solutions and Asymptotic Analysis to a (3+1)-Dimensional Generalized Kadomtsev—Petviashvili Equation
• On the evolution of packets of water waves
• The Korteweg–deVries Equation: A Survey of Results
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• Exact envelope-soliton solutions of a nonlinear wave equation

This page was built for publication: Mixed lump-stripe, bright rogue wave-stripe, dark rogue wave-stripe and dark rogue wave solutions of a generalized Kadomtsev-Petviashvili equation in fluid mechanics