MATH 8363 Solitons and Integrable Models

The purpose of this course is to demonstrate how to construct soliton and multi-soliton solutions to nonlinear integrable models appearing in physics and other nonlinear sciences and how to test integrability using the Lax pair approach. Research topics include solitary wave solutions, multi-soliton solutions, peakon and cuspon solutions, Lax pairs, Poisson brackets, symplectic structures, and canonical Hamiltonian structures.

Credits

3

Prerequisite

Consent of instructor.

Schedule Type

Lecture

Grading Basis

Standard Letter (A-F)

Administrative Unit

School of Mathematical & Stat

Offered

As scheduled