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Discrete Integrable Systems and Hodograph Transformations Arising from Motions of Discrete Plane Curves
Discrete Integrable Systems Hodograph Transformations Motions of Discrete Plane Curves
2011/9/29
Abstract: We consider integrable discretizations of some soliton equations associated with the motions of plane curves: the Wadati-Konno-Ichikawa elastic beam equation, the complex Dym equation, and t...
Objects Moving along Closed Timelike Curves belong to Proper Classes
Closed timelike curves (CTC) Set theory Proper classes Time travel
2011/7/26
Abstract: According to the set theory, we prove that objects moving along closed timelike curves (CTCs) should belong to proper classes, but never to any set. Particles in a set have to change own som...
Fitting galactic rotation curves with conformal gravity and a global quadratic potential
galactic rotation curves conformal gravity global quadratic potential
2010/12/21
We apply the conformal gravity theory to a sample of 110 spiral galaxies whose rotation curve
data points extend well beyond the optical disk. With no free parameters other than galactic mass to ligh...
This paper discusses the observed flat rotation curves of galaxies in the context of noncommutative geometry. The energy density of such a geometry is diffused throughout a region due to the uncertain...
Bacterial flagella assume different helical shapes during the tumbling phase of a bacterium but also in response to varying environmental conditions. Force-extension measurements by Darnton and Berg ...
Hamiltonian motions of plane curves and formation of singularities and bubbles
Hamiltonian motions plane curves
2010/4/1
A class of Hamiltonian deformations of plane curves is defined and studied. Hamiltonian deformations of conics and cubics are considered as illustrative examples. These deformations are described by s...
Integrable System and Motion of Curves in Projective and
Similarity Geometries
motion of curve similarity geometry projective geometry integrable equation
2007/8/15
2006Vol.45No.1pp.45-48DOI:
Integrable System and Motion of Curves in Projective and
Similarity Geometries
HOU Yu-Qing
Department of Electronics, Northwest University, Xi...
Signal-Pressure Curves of Cascaded Four-Wave Mixing
in Gas-Filled Capillary by fs Pulses
gas-filled capillary fs pulses cascaded four-wave mixing signal-pressure curves
2007/8/15
2005Vol.43No.3pp.526-528DOI:
Signal-Pressure Curves of Cascaded Four-Wave Mixing
in Gas-Filled Capillary by fs Pulses
CHEN Bao-Zhen and HUANG Zu-Qia
The Key Laboratory ...
Higher Toda Mechanics and Spectral Curves
Toda chain Lax matrix symmetric
reduction spectral curves
2007/8/15
2004Vol.42No.1pp.9-18DOI:
Higher Toda Mechanics and Spectral Curves
ZHAO Liu and LIU Wang-Yun
Institute of Modern Physics, Northwest University, Xi'an 710069, China
...