Nonlinear Systems and Their Remarkable Mathematical Structures

DOI10.1201/9780429263743zbMath1436.37001OpenAlexW2921068065MaRDI QIDQ5242959

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Publication date: 8 November 2019

Full work available at URL: https://doi.org/10.1201/9780429263743

zbMATH Keywords

symmetrynonlinear systemsintegrabilitynonlinear Schrödinger equationPainlevé equationsLax pairs

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations (34-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of particles and systems (70-01) Hamiltonian and Lagrangian mechanics (70Hxx) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37Kxx) Nonlinear dynamics in mechanics (70Kxx) Dynamics of a system of particles, including celestial mechanics (70Fxx) General models, approaches, and methods in mechanics of particles and systems (70Gxx)

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Periodicity, linearizability, and integrability in seed mutations of type AN(1)

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