The Camassa-Holm Hierarchy, N -Dimensional Integrable Systems, and Algebro-Geometric Solution on a Symplectic Submanifold

2003/08/01 by Zhijun Qiao · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Camassa–Holm equation #Curvature #Geometry #Hierarchy #Integrable system #Lie algebra #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Poisson bracket #Pure mathematics #Submanifold #Symplectic geometry

paper · doi:10.1007/s00220-003-0880-y

crossref issued 2003/08/01 · crossref published 2003/08/01 · crossref published-print 2003/08/01 · openalex publication_date 2003/08/01 · crossref created 2004/10/15 · crossref deposited 2019/05/24 · openalex created_date 2025/10/10 · crossref indexed 2026/08/07 · openalex updated_date 2026/08/08

Citations

• Principles of Algebraic Geometry
• Hamiltonian Methods in the Theory of Solitons
• The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
• The Complex Geometry of Weak Piecewise Smooth Solutions of Integrable Nonlinear PDE's¶of Shallow Water and Dym Type
• Wave Solutions of Evolution Equations and Hamiltonian Flows on Nonlinear Subvarieties of Generalized Jacobians

Cited by

• Camassa–Holm equation [wikipedia]