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The Sinegordon Equation In The Semiclassical Limit Dynamics Of Fluxon Condensates Robert J Buckingham

  • SKU: BELL-5251694
The Sinegordon Equation In The Semiclassical Limit Dynamics Of Fluxon Condensates Robert J Buckingham
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The Sinegordon Equation In The Semiclassical Limit Dynamics Of Fluxon Condensates Robert J Buckingham instant download after payment.

Publisher: Amer Mathematical Society
File Extension: PDF
File size: 4.8 MB
Pages: 148
Author: Robert J. Buckingham, Peter D. Miller
ISBN: 9780821885451, 0821885456
Language: English
Year: 2013

Product desciption

The Sinegordon Equation In The Semiclassical Limit Dynamics Of Fluxon Condensates Robert J Buckingham by Robert J. Buckingham, Peter D. Miller 9780821885451, 0821885456 instant download after payment.

The authors study the Cauchy problem for the sine-Gordon equation in the semiclassical limit with pure-impulse initial data of sufficient strength to generate both high-frequency rotational motion near the peak of the impulse profile and also high-frequency librational motion in the tails. They show that for small times independent of the semiclassical scaling parameter, both types of motion are accurately described by explicit formulae involving elliptic functions. These formulae demonstrate consistency with predictions of Whitham's formal modulation theory in both the hyperbolic (modulationally stable) and elliptic (modulationally unstable) cases

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