1.685[J] 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.

1.685[J] will not be offered this semester. It will be instructed by T. R. Akylas and R. R. Rosales.

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

In the Spring 2015 Subject Evaluations, 1.685[J] was rated 6.5 out of 7.0. You can find more information on MIT OpenCourseWare at the Nonlinear Dynamics and Waves site.

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