Abstract - times provide interesting insights into the...

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Dispersive Quantization Sudarshan Balakrishnan, Gong Chen August 19, 2011 The study of linear dispersive partial differential equations with piecewise constant periodic initial data leads to quantized structures at times which are rational multiples of π and fractal profiles at irrational multiples of π . Graphs for its solution at different
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Unformatted text preview: times provide interesting insights into the behavior of the Fourier Series at rational and irrational multiples of π . We will present an overview of these results for the linear and non-linear Schr¨odinger wave equation and the Kdv with boundary conditions on T and R . 1...
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This note was uploaded on 11/19/2011 for the course MATH 101 taught by Professor Wormer during the Spring '08 term at UCSD.

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