Liouville Correspondence Between the Short-Pulse Hierarchy and the Sine-Gordon Hierarchy
نویسندگان
چکیده
منابع مشابه
The Short Pulse Hierarchy
We study a new hierarchy of equations containing the Short Pulse equation, which describes the evolution of very short pulses in nonlinear media, and the Elastic Beam equation, which describes nonlinear transverse oscillations of elastic beams under tension. We show that the hierarchy of equations is integrable. We obtain the two compatible Hamiltonian structures. We construct an infinite serie...
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ژورنال
عنوان ژورنال: Zeitschrift für Naturforschung A
سال: 2016
ISSN: 1865-7109,0932-0784
DOI: 10.1515/zna-2016-0282