Algebro-geometric solutions for the derivative Burgers hierarchy

DOI10.1007/s00332-014-9219-4zbMath1312.37040arXiv1204.2140OpenAlexW1967651139MaRDI QIDQ2018848

Zhijun Qiao, Zhong Wang, Yu Hou, En-gui Fan

Publication date: 25 March 2015

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

Full work available at URL: https://arxiv.org/abs/1204.2140

zbMATH Keywords

Baker-Akhiezer functionsalgebro-geometric solutionsderivative Burgers hierarchythird-order algebraic curve

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) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (5)

Algebro-geometric solutions of the generalized Burgers hierarchy associated with a \(3\times 3\) matrix spectral problem based on Riemann surface ⋮ Trigonal curves and algebro-geometric solutions to soliton hierarchies I ⋮ Algebro-geometric constructions of a hierarchy of integrable semi-discrete equations ⋮ Algebro-geometric solutions of the coupled Chaffee-Infante reaction diffusion hierarchy ⋮ Residual symmetries and Bäcklund transformations of \((2+1)\)-dimensional strongly coupled Burgers system

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