We analyze the existence and stability of localized solutions in the one-dimensional discrete
nonlinear Schrödinger (DNLS) equation with a combination of competing self-focusing cubic …

In this paper, a theorem, which determines the linear stability of multibreathers excited over
adjacent coupled oscillators in Klein–Gordon chains, is proven. Specifically, it is shown that …

We study the discrete nonlinear Schrödinger lattice model with the onsite nonlinearity of the
general form,| u| 2σu. We systematically verify the conditions for the existence and stability of …

We study the existence and stability of multibreathers in Klein–Gordon chains with
interactions that are not restricted to nearest neighbors. We provide a general framework …

We show that the state of amide-I excitations in proteins is modeled by the discrete nonlinear
Schrödinger equation with saturable nonlinearities. This is done by extending the Davydov …

We find conditions for existence and stability of various types of discrete breather
concentrated around three central sites in a triangular lattice of one-dimensional …

We consider the discrete breathers in one-dimensional nonlinear Klein-Gordon type lattices
with pure anharmonic couplings. A discrete breather in the limit of vanishing couplings, ie …

We consider a finite but arbitrarily large Klein–Gordon chain, with periodic boundary
conditions. In the limit of small couplings in the nearest neighbor interaction, and small (total …

We consider the problem of the continuation with respect to a small parameter ɛ of spatially
localized and time periodic solutions in 1-dimensional dNLS lattices, where ɛ represents the …

The nonlinear dynamics of a homogeneous DNA chain based on site-dependent finite
stacking and pairing enthalpies is studied. A new variant of extended discrete nonlinear …