Coherent Structures, Pattern Formation and Solitons

5 credits

Methods for nonlinear partial differential equations (PDEs) leading to coherent structures and patterns. Includes symmetries, conservations laws, stability Hamiltonian and variation methods of PDEs; interactions of structures such as waves or solitons; Lax pairs and inverse scattering; and Painleve analysis. Prerequisite: either a course in partial differential equations or permission of instructor. Offered: A, odd years.