Solitons and Nonlinear Wave Equations

Undergraduate

Linear and nonlinear travelling waves. Nonlinear evolution equations (Korteweg de Vries, nonlinear Schrodinger, sine-Gordon). Soliton solutions and their interaction properties. Lax pairs, inverse scattering, zero-curvature equations and Backlund transformations, Hamiltonian structures, and conservation laws. Course Format: Lectures, 3 hours per week; lab/tutorial, 1 hour per week. Prerequisite(s): One of MATH 3P08, MATH 3P09, MATH 3P51, MATH 3P52 Cross-Listing(s): PHYS 4P09 Course Notes: This course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term.