Multiplicity results of breathers for the discrete nonlinear Schrödinger equations with unbounded
potentials Page 1 SCIENCE CHINA Mathematics . ARTICLES . April 2015 Vol.58 No.4: 781–790 …

We study—experimentally, theoretically, and numerically—nonlinear excitations in lattices of
magnets with long-range interactions. We examine breather solutions, which are spatially …

We show numerically that introducing the next-nearest-neighbor interactions (of appropriate
strength) into the one-dimensional (1D) Fermi-Pasta-Ulam-β (FPU-β) lattice can result in an …

In the aerospace industry the trend for light-weight structures and the resulting complex
dynamic behaviours currently challenge vibration engineers. In many cases, these light …

We study analytically and numerically the impact of the second-neighbor interactions on the
propagation of an initial wave-packet through a coupled nonlinear left-handed transmission …

We study the thermal rectification efficiency, ie, quantification of asymmetric heat flow, of a
one-dimensional mass-graded anharmonic oscillator Fermi-Pasta-Ulam lattice both with …

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 …

Addressing the challenges posed by nonlinear lattice models, which are vital across diverse
scientific disciplines, we present a new deep learning approach that harnesses the power of …

We consider a one-dimensional discrete nonlinear Schrödinger (dNLS) model featuring
interactions beyond nearest neighbors. We are interested in the existence (or nonexistence) …

The discrete multi-rogue waves (DMRW) as solution of the discrete nonlinear Schrödinger
(DNLS) equation with saturable nonlinearities is studied numerically. These biological rogue …