Algebro-geometric quasi-periodic solutions to the Bogoyavlensky lattice 2(3) equations

DOI10.1007/s00332-022-09858-xOpenAlexW4304140225MaRDI QIDQ2096985

Jiao Wei, Minxin Jia, Xiangguo Geng

Publication date: 11 November 2022

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-022-09858-x

zbMATH Keywords

tetragonal curvesalgebro-geometric quasi-periodic solutionsBogoyavlensky lattice 2(3) equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Theta functions and curves; Schottky problem (14H42)

Related Items (7)

Breather solutions to the AB system with non-zero background ⋮ Quasi-periodic solutions of a discrete integrable equation with a finite-dimensional integrable symplectic structure ⋮ Application of tetragonal curves to coupled Boussinesq equations ⋮ Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds ⋮ Rogue waves and breathers of the derivative Yajima-Oikawa long wave-short wave equations on theta-function backgrounds ⋮ Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data ⋮ Soliton resolution for the complex short-pulse positive flow with weighted Sobolev initial data in the space-time soliton regions

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