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Showing 2009 · math-phShow all
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math-ph2009
The von Mises transformation: order reduction and construction of Backlund transformations and new integrable equations
Andrei D. Polyanin, Alexei I. Zhurov
Wide classes of nonlinear mathematical physics equations are described that admit order reduction through the use of the von Mises transformation, with the unknown function taken a…
math-ph2009★ 5 cited
Zigzag and armchair nanotubes in external fields
E. L. Korotyaev, A. A. Kutsenko
We consider the Schrödinger operator on the zigzag and armchair nanotubes (tight-binding models) in a uniform magnetic field $\mB$ and in an external periodic electric potential. T…