Special Session 45: Lie Symmetries, Conservation Laws and Other Approaches in Solving Nonlinear Differential Equations

Integrable Hamiltonian equations and matrix Lie algebras

Wen-Xiu Ma
University of South Florida
USA
Co-Author(s):    
Abstract:
We will talk about how to construct integrable Hamiltonian equations through matrix spectral problems. Hamiltonian structures are furnished by the trace identity and recursion operators are constructed from solutions to stationary zero curvature equations, which generate infinitely many symmetries and conservation laws. Illuminating examples are given.