Quasi-periodic wave solutions, soliton solutions, and integrability to a (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation

DOI10.1080/17455030.2016.1166289zbMath1365.37055OpenAlexW2320942143MaRDI QIDQ5273326

Lian-Li Feng, Hui Yan, Tian-Tian Zhang, Shou-Fu Tian

Publication date: 6 July 2017

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2016.1166289

zbMATH Keywords

Riemann theta functionsBell's polynomialsnonlinear evolutions equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Almost and pseudo-almost periodic solutions to PDEs (35B15) Nonlinear higher-order PDEs (35G20) PDEs in connection with quantum mechanics (35Q40) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (9)

Breathers, quasi-periodic and travelling waves for a generalized -dimensional Yu-Toda-Sasa-Fukayama equation in fluids ⋮ Nonlocal symmetry and consistent Riccati expansion integrability of the (1+1)-dimensional integrable nonlinear dispersive-wave system ⋮ On a generalized Ablowitz–Kaup–Newell–Segur hierarchy in inhomogeneities of media: soliton solutions and wave propagation influenced from coefficient functions and scattering data ⋮ The solitary waves, quasi-periodic waves and integrability of a generalized fifth-order Korteweg-de Vries equation ⋮ Solitons and periodic waves for a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation in fluid dynamics and plasma physics ⋮ General M-lump, high-order breather, and localized interaction solutions to \((2+1)\)-dimensional generalized Bogoyavlensky-Konopelchenko equation ⋮ Lump-type solutions and lump solutions for the (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation ⋮ Breather wave solutions and interaction solutions for two mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Bonopelchenko equations ⋮ Lump Solutions for Two Mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Konopelchenko Equations*

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