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2021/2022 University Catalog [ARCHIVED CATALOG]

MATH 639 - Nonlinear Waves

Units: 3

Prerequisite(s): MATH 531  or MATH 537  with a grade of C (2.0) or better.

Linear waves, dissipation, dispersion. Conservation laws. Water waves. KdV equation, solitary waves, cnoidal waves. Scattering and inverse scattering. Perturbation theory. Nonlinear Schroedinger equation, dark and bright solitons, vortex solutions. Variational techniques, modulational instability, stability.