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solv-int1999
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…
solv-int1998
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…
solv-int1998
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…