ENGLISH

The sine-Gordon equation in the semiclassical limit: dynamics of fluxon condensates

By Peter D. Miller , Robert J. Buckingham

Book information

Publisher
Amer Mathematical Society
Year
2013
ISBN
0821885456, 978-0-8218-8545-1
Language
english
Format
PDF
Filesize
5 MB (5037334 bytes)
Series
Memoirs of the American Mathematical Society 1059
Pages
148\148
Library
kolxoz
Time added
2015-12-12 14:00:00

Description

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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