The sine-Gordon equation in the semiclassical limit: dynamics of fluxon condensates
Robert J. Buckingham, Peter D. Miller
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
Категории:
Год:
2013
Издательство:
Amer Mathematical Society
Язык:
english
Страницы:
148
ISBN 10:
0821885456
ISBN 13:
9780821885451
Серия:
Memoirs of the American Mathematical Society 1059
Файл:
PDF, 4.80 MB
IPFS:
,
english, 2013
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