Lattice solitary traveling waves are nonlinear coherent structures that describe fundamental
mechanisms of energy transport and signal transmission in many physical settings. This …

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 …

The article deals with the Fermi-Pasta-Ulam-type systems that describe an infinite system of
particles with nonlocal interaction on a two-dimensional lattice. It is assumed that every …

The paper is devoted to the nonlinear Schrödinger equation with periodic linear and
nonlinear potentials on periodic metric graphs. Assuming that the spectrum of linear part …

Abstract The Fermi–Pasta–Ulam-type systems with saturable nonlinearities, namely, infinite
systems of particles on a two dimensional lattice, have been considered. The main result …

The paper is devoted to traveling waves in FPU type particle chains assuming that each
particle interacts with several neighbors on both sides. Making use of variational techniques …

Abstract Systems of the Fermi–Pasta–Ulam type with saturable nonlinearities that describe
infinite systems of particles on a two dimensional lattice have been analyzed. The main …

This paper concerns the existence of generalized solitary waves (solitary waves with small
ripples at infinity) for a diatomic Fermi-Pasta-Ulam-Tsingou (FPUT) lattice. It is proved that …

We construct multiple families of solitary standing waves of the discrete cubically nonlinear
Schrödinger equation (DNLS) in dimensions d= 1, 2 and 3. These states are obtained via a …

Traveling waves for the FPU chain are constructed by solving the associated equation for
the spatial profile u of the wave. We consider solutions whose derivatives need not be small …