Mathematics · Fall 2026, Winter 2027, Spring 2027, & Summer 2027
SDSU MATH 639 — Nonlinear Waves
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.
Course requirements
Prerequisites: MATH 531 or MATH 537 with a grade of C (2.0) or better.
- MATH 531 or MATH 537 with a grade of C (2.0) or better.