This paper investigates an analytical and numerical study on impurity–impurity and impurity–
breather interactions associated with energy localization in a quantum 1D Klein–Gordon …

We report a theoretical work on the properties of modulational instability and bright type
nonlinear localized modes in one-dimensional easy-axis weak ferromagnetic spin lattices …

Experimental platforms based on trapped ions, cold molecules, and Rydberg atoms have
made possible the investigation of highly nonlocal spin-1/2 Hamiltonians with long-range …

A semiclassical theoretical study on the property of the modulational instability of
corresponding linear spin-waves and the presence of nonlinear localized excitations in a …

We investigate the quench dynamics of a two-component Bose mixture and study the onset
of modulational instability, which leads the system far from equilibrium. Analogous to the …

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We derive two versions of an effective model to describe dynamical effects of the Yukawa
interaction among Dirac electrons in the plane. Such short-range interaction is obtained by …

The modulational instability associated with discrete breathers in 2D quantum ultracold
atoms is studied by using the Glauber's coherent state combined with a semi-discrete …

We study the breather-impurity interactions and modulational instability in a quantum 2D
Klein–Gordon chain. By using the second quantification operators, we transform classical …

We study instabilities and relaxation to equilibrium in a long-range extension of the Fermi-
Pasta-Ulam-Tsingou (FPU) oscillator chain by exciting initially the lowest Fourier mode …