Algebro-geometric solutions of the Dirac hierarchy

DOI10.1134/S0040577917120145zbMath1386.81074OpenAlexW2781841204MaRDI QIDQ1709392

Xiao Yang, Jiayan Han

Publication date: 5 April 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577917120145

zbMATH Keywords

algebro-geometric solutionDirac hierarchyLenard equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Relationships between algebraic curves and integrable systems (14H70)

Cites Work

• Symplectic realizations and action-angle coordinates for the Lie-Poisson system of Dirac hierarchy
• Super-derivations
• Lenard chains for classical integrable systems
• Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition
• SOME PROBLEMS IN THE THEORY OF A STURM-LIOUVILLE EQUATION
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Almost Periodic Solutions of the KdV Equation
• Evolution equations possessing infinitely many symmetries
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
• N-fold Darboux transformation and soliton solutions for a nonlinear Dirac system
• Virasoro symmetry algebra of Dirac soliton hierarchy
• C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Algebro-geometric solutions of the Dirac hierarchy