MATH 8363 Integrable Systems

The purpose of the course is to show students how to analyze nonlinear partial differential equations for physical problems and how to solve the equations to obtain exact solutions. Topics include solitary wave solutions, multi-soliton solutions, peakon and cuspon solutions, Lax pair, Poisson bracket, symplectic structures, canonical Hamiltonian structure, conservation laws, integrability in the sense of Liouville, and algebraic-geometric solutions.

Credits

3

Prerequisite

MATH 6363 or consent of instructor

Schedule Type

Lecture

Grading Basis

Standard Letter (A-F)

Offered

As scheduled