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pro vyhledávání: '"Grecu, D."'
The modulational instability in the class of NLS equations is discussed using a statistical approach. A kinetic equation for the two-point correlation function is studied in a linear approximation, and an integral stability equation is found. The mod
Externí odkaz:
http://arxiv.org/abs/nlin/0610030
We discuss the quasiclassical approximation for the equations of motions of a nonlinear chain of phonons and electrons having phonon mediated hopping. Describing the phonons and electrons as even and odd grassmannian functions and using the continuum
Externí odkaz:
http://arxiv.org/abs/nlin/0406045
Autor:
Visinescu, Anca, Grecu, D.
The discrete self-trapping equation (DST) represents an useful model for several properties of one-dimensional nonlinear molecular crystals. The modulational instability of DST equation is discussed from a statistical point of view, considering the o
Externí odkaz:
http://arxiv.org/abs/nlin/0212043
Multi scales method is used to analyze a nonlinear differential-difference equation. In order $\epsilon^3$ the NLS equation is found to determine the space-time evolution of the leading amplitude. In the next order this has to satisfy a complex mKdV
Externí odkaz:
http://arxiv.org/abs/solv-int/9910006
Self-localized modes in a quantum vibronic system, with long range interaction of Kac-Baker type and interacting nonlinearly with an acoustical phonon bath, is studied. One works in the coherent state approximation. Following a procedure of Sarker an
Externí odkaz:
http://arxiv.org/abs/solv-int/9810005
One dimensional nonlinear lattices with harmonic long range interaction potentials (LRIP) having an inverse power kernel type, are studied. For the nearest neighbour nonlinear interaction we consider the anharmonic potential of the Fermi-Pasta-Ulam p
Externí odkaz:
http://arxiv.org/abs/solv-int/9707016
Autor:
Cârstea, A. S., Grecu, D.
A class of rational solutions of Toda lattice satisfying certain Backlund transformations and a class of mixed rational-soliton solutions (quasisolitons) in wronskian formare obtained using the method of Ablowitz and Satsuma. Also an extended class o
Externí odkaz:
http://arxiv.org/abs/solv-int/9605008
Autor:
Grecu, D., Visinescu, Anca
A ri proof of the effective potential (lattice corrections included) deduced by Trullinger and Sasaki is given. Using asymptotic methods from the theory of differential equations depending on a large parameter, the lattice corrections to the kink and
Externí odkaz:
http://arxiv.org/abs/cond-mat/9304005
Publikováno v:
In Physica D: Nonlinear Phenomena 2010 239(12):967-971
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