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nlin.SI2011
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…
nlin.SI2006★ 4 cited
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…
nlin.SI2000
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…