19 citations · 125 across the 26 of their papers we have counts for
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Beyond Nonlinear Schrödinger Equation Approximation for an Anharmonic Chain with Harmonic Long Range Interaction
D. Grecu, Anca Visinescu, A. S. Carstea
Multi scales method is used to analyze a nonlinear differential-difference equation. In order the NLS equation is found to determine the space-time evolution of the leading a…
Extension of the bilinear formalism to supersymmetric KdV-type equations
A. S. Carstea
Extending the gauge-invariance principle for τfunctions of the standard bilinear formalism to the supersymmetric case, we define N=1 supersymmetric Hirota operators. Using them, we…
Long range interaction corrections on the quantum vibronic soliton
D. Grecu, A. S. Cârstea, Anca Visinescu
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 i…
Continuum limit of nonlinear discrete systems with long range interaction potentials
A. S. Cârstea, D. Grecu, A. Visinescu
One dimensional nonlinear lattices with harmonic long range interaction potentials (LRIP) having an inverse power kernel type, are studied. For the nearest neighbour nonlinear inte…
On the dynamics of rational solutions for 1-D generalized Volterra system
A. S. Cârstea
The Hirota bilinear formalism and soliton solutions for a generalized Volterra system is presented. Also, starting from the soliton solutions, we obtain a class of nonsingular rati…
On a class of rational and mixed soliton-rational solutions of Toda lattice
A. S. Cârstea, D. Grecu
A class of rational solutions of Toda lattice satisfying certain Backlund transformations and a class of mixed rational-soliton solutions (quasisolitons) in wronskian formare obtai…