A construction of solutions of an integrable deformation of a commutative Lie algebra of skew Hermitian \(\mathbb{Z} \times \mathbb{Z} \)-matrices
DOI10.1016/J.INDAG.2024.04.001MaRDI QIDQ6663159
G. F. Helminck, Aloysius G. Helminck
Publication date: 14 January 2025
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Cauchy problemlinearizationLax formwave matriceszero curvature relations\(\mathcal{C}_{sh} ( \mathbb{C} )\)-hierarchy
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hermitian, skew-Hermitian, and related matrices (15B57) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)
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