142 citations · 2.5k across the 82 of their papers we have counts for
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Stationary and moving breathers in a simplified model of curved alpha--helix proteins
J. F. R. Archilla, Yu B. Gaididei, P. L. Christiansen +1
The existence, stability and movability of breathers in a model for alpha-helix proteins is studied. This model basically consists a chain of dipole moments parallel to it. The exi…
Solitons in Triangular and Honeycomb Dynamical Lattices with the Cubic Nonlinearity
P. G. Kevrekidis, B. A. Malomed, Yu. B. Gaididei
We study the existence and stability of localized states in the discrete nonlinear Schr{ö}dinger equation (DNLS) on two-dimensional non-square lattices. The model includes both the…
Transparency Resonances and Bound States of the Junction
P. L. Christiansen, A. V. Zolotaryuk, V. N. Ermakov +1
Exact positive and negative energy solutions for the eigenvalue problem of the Schrödinger equation in one dimension with a interaction are found and analyzed. An infini…
Thermal diffusion of supersonic solitons in an anharmonic chain of atoms
Edward Arevalo, Franz G. Mertens, Yuri Gaididei +1
We study the non-equilibrium diffusion dynamics of supersonic lattice solitons in a classical chain of atoms with nearest-neighbor interactions coupled to a heat bath. As a specifi…