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- Bakhtiyor B. Baizakov, Boris A. Malomed, Mario Salerno
- 2003

The existence of stable solitons in two-and three-dimensional (2D and 3D) media governed by the self-focusing cubic nonlinear Schrödinger equation with a periodic potential is demonstrated by means of the variational approximation (VA) and in direct simulations. The potential stabilizes the solitons against collapse. Direct physical realizations are a… (More)

We investigate the role played by DNA promoters as dynamical activators of transport processes of the RNA polymerase along DNA macromolecules, by introducing an effective potential for the kink of a discrete sine-Gordon chain. At any given moment of its life, a cell of a living organism does not express the totality of its genes (the whole genoma of the… (More)

- Maria Barbi, Christophe Place, Vladislav Popkov, Mario Salerno
- Journal of biological physics
- 2004

We introduce a probabilistic model for protein sliding motion along DNA during the search of a target sequence. The model accounts for possible effects due to sequence-dependent interaction between the nonspecific DNA and the protein. Hydrogen bonds formed at the target site are used as the main sequence-dependent interaction between protein and DNA. The… (More)

- F Kh, Abdullaev, Mario Salerno
- 2008

The evolution of atomic solitary waves in Bose-Einstein condensate (BEC) under adiabatic changes of the atomic scattering length is investigated. The variations of amplitude, width, and velocity of soliton are found for both spatial and time adiabatic variations. The possibility to use these variations to compress solitons up to very high local matter… (More)

- Mario Salerno
- 2008

We use group theory to derive the exact analytical expression of the ferromagnetic ground states of the Hubbard model on a complete graph for arbitrary lattice sites f and for arbitrary fillings N. We find that for t > 0 and for N = f + 1 the ground state is maximally ferromagnetic with total spin S = (f − 1)/2. For N > f + 1 the ground state is still… (More)

- Mario Salerno
- 2008

We derive the analytical expression of the ground state of the Hub-bard model with unconstrained hopping at half filling and for arbitrary lattice sites.

- Mario Salerno, Gianluca Susi, Alessandro Cristini
- BIOINFORMATICS
- 2011

The simulation problem of very large fully asynchronous Spiking Neural Networks is considered in this paper. To this purpose, a preliminary accurate analysis of the latency time is made, applying classical modelling methods to single neurons. The latency characterization is then used to propose a simplified model, able to simulate large neural networks. On… (More)

- Giorgio Nottoli, Mario Salerno, Giovanni Costantini
- ICMC
- 1998

We report on the possibility of unidirectional motion of a topological soliton in a dissipa-tive AC-driven sine-Gordon equation. This motion is due to breaking of certain space-time symmetries. It can be achieved by the proper choice of the potential or the AC force. We formulate the necessary symmetry conditions for the AC force and confirm them with the… (More)

- Angelo Bernardini, Marco Bernesi, Mario Salerno
- European Transactions on Telecommunications
- 1990