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4 papers · 1 filter
Wave breaking and the generation of undular bores in an integrable shallow-water system
G. A. El, R. H. J. Grimshaw, A. M. Kamchatnov
The generation of an undular bore in the vicinity of a wave-breaking point is considered for the integrable Kaup-Boussinesq shallow water system. In the framework of the Whitham mo…
The Boussinesq equation and Miura type transformations
Maxim Pavlov
A direct method for calculation of Miura type transformations via LA pair is used for the Boussinesq equation. Quadratic Miura type transformations connected with local weakly-nonl…
Quantum electromechanics: Qubits from buckling nanobars
Sergey Savel'ev, Xuedong Hu, Franco Nori
We propose a mechanical qubit based on buckling nanobars--a NEMS so small as to be quantum coherent.To establish buckling nanobars as legitimate candidates for qubits, we calculate…
On a class of three-dimensional integrable Lagrangians
E. V. Ferapontov, K. R. Khusnutdinova, S. P. Tsarev
We characterize non-degenerate Lagrangians of the form such that the corresponding Euler-Lagrange equations $ (f_{u_x})_x+ (f_{u_y})_y+ (f_{u_t})…