18.377J Nonlinear Dynamics and Waves

Class Info

A unified treatment of nonlinear oscillations and wave phenomena with applications to mechanical, optical, geophysical, fluid, electrical and flow-structure interaction problems. Nonlinear free and forced vibrations; nonlinear resonances; self-excited oscillations; lock-in phenomena. Nonlinear dispersive and nondispersive waves; resonant wave interactions; propagation of wave pulses and nonlinear Schrodinger equation. Nonlinear long waves and breaking; theory of characteristics; the Korteweg-de Vries equation; solitons and solitary wave interactions. Stability of shear flows. Some topics and applications may vary from year to year.

This class has no prerequisites.

18.377J will be offered this semester (Spring 2019). It is instructed by T. R. Akylas and R. R. Rosales.

This class counts for a total of 12 credits. This is a graduate-level class.

You can find more information on MIT OpenCourseWare at the Nonlinear Dynamics and Waves site.

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Nonlinear Dynamics and Waves
phenomena flow-structure nonlinear

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