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math-ph2011
The sine-Gordon equation in the semiclassical limit: critical behavior near a separatrix
Robert J. Buckingham, Peter D. Miller
We 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…
math-ph2011
The sine-Gordon equation in the semiclassical limit: dynamics of fluxon condensates
Robert J. Buckingham, Peter D. Miller
We 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…