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Preprints of the Keldysh Institute of Applied Mathematics, 1996, 050 (Mi ipmp1551)  
Theory of an Equation with the Frenkel-Kontorova Potential

L. D. Pustyl’nikov
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Abstract: We develop a full theory of an equation with the Frenkel-Kontorova potential. It includes finding families of periodic solutions and of traveling solutions, creating the infinite-dimensional analog of the KAM theory for families of quasiperiodic solutions with continual and countable and finite number of rational independent frequencies. We also prove stability of stationary solutions.
Document Type: Preprint
Language: Russian
Citation: L. D. Pustyl’nikov, “Theory of an Equation with the Frenkel-Kontorova Potential”, Keldysh Institute preprints, 1996, 050
Citation in format AMSBIB
\Bibitem{Pus96}
\by L.~D.~Pustyl’nikov
\paper Theory of an Equation with the Frenkel-Kontorova Potential
\jour Keldysh Institute preprints
\yr 1996
\papernumber 050
\mathnet{http://mi.mathnet.ru/ipmp1551}
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