7 citations · 22 across the 8 of their papers we have counts for
8 papers
Periodic and Solitary Wave Solutions of Two Component Zakharov-Yajima-Oikawa System, Using Madelung's Approach
Anca Visinescu, Dan Grecu, Renato Fedele +1
Using the multiple scales method, the interaction between two bright and one dark solitons is studied. Provided that a long wave-short wave resonance condition is satisfied, the tw…
Statistical Approach of Modulational Instability in the Class of Derivative Nonlinear Schroedinger Equations
A. T. Grecu, D. Grecu, Anca Visinescu
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 line…
Statistical approach of the modulational instability of the discrete self-trapping equation
Anca Visinescu, D. Grecu
The discrete self-trapping equation (DST) represents an useful model for several properties of one-dimensional nonlinear molecular crystals. The modulational instability of DST equ…
Multiscale Analysis of a Davydov Model with an Harmonic Long Range Interaction of Kac-Baker Type
Dan Grecu, Anca Visinescu
The classical equation of motion of a Davydov model in a coherent state approximation is analyzed using the multiple scales method. An exponentially decaying long range interaction…
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…
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…