Research Experience for Undergraduates (REU) Seminar

Topic: Water Waves, Solitons, and Unexpected Phenomena
Speaker: Amy Cohen-Corwin, Professor of Mathematics, Rutgers University
Date and time: Wednesday, July 11, 2001, 12:00 noon
Location: CoRE Building, Room 301A, Rutgers University, Piscataway, NJ

Lunch will be served.

The Korteweg-deVries equation (KdV) models long waves on shallow canals.  It is a non-linear partial differential equation.  So sums of solutions should not be solutions.  Nonetheless, there are very special solutions called "solitons", which display something very like a superposition principle.  Further every solution with reasonable initial data looks like a superposition of solitons as time gets large.
This talk will show pictures to describe some results, and sketch out a non-linear analog of the Fourier transform which underlies the results with NO technical details.

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