Soliton Equations and Hamiltonian Systems 论文

详细信息

发表期刊/会议

Advanced series in mathematical physics

发表日期

2003-01-01

发表年份

2003

摘要

Integrable Systems Generated by Linear Differential nth Order Operators Hamiltonian Structures Hamiltonian Structure of the GD Hierarchies Modified KdV and GD. The Kupershmidt-Wilson Theorem The KP Hierarchy Baker Function, t-Function Additional Symmetries, String Equation Grassmannian. Algebraic-Geometrical Krichever Solutions Matrix First-Order Operator, AKNS-D Hierarchy Generalization of the AKNS-D Hierarchy: Single-Pole and Multi-Pole Matrix Hierarchies Isomonodromic Deformations and the Most General Matrix Hierarchy Tau Functions of Matrix Hierarchies KP, Modified KP, Constrained KP, Discrete KP, and q-KP Another Chain of KP Hierarchies and Integrals Over Matrix Varieties Transformational Properties of a Differential Operator under Diffeomorphisms and Classical W-Algebras Further Restrictions of the KP, Stationary Equations Stationary Equations of the Matrix Hierarchy Field Lagrangian and Hamiltonian Formalism Further Examples and Applications.