4 papers
Localized patterns and dispersive structures in two-dimensional Fermi-Pasta-Ulam lattices
Su Yang, Wenrong Sun
In this paper, we study an analog of the scalar two-dimensional Fermi-Pasta-Ulam (FPU) lattice. In particular, a variety of dispersive wave structures and localized patterns are nu…
Exact vector Akhmediev breathers dominated by a linearly stable frequency
Wen-Rong Sun, Chong Liu, Lei Wang +1
In the scalar nonlinear Schrodinger equation, an Akhmediev breather (AB) is dominated by a frequency that lies inside the modulation instability gain band. This exactly corresponde…
On the quasi-continuum approximation of some localized patterns in the FPUT lattice
Su Yang, Wenrong Sun, Lei Liu +1
In the present work, we present a number of localized wave patterns that are theoretically analyzed and numerically illustrated to be observable within the widely applicable paradi…
Rogue waves of Ultra-High Peak Amplitude: A Mechanism for Reaching up to Thousand Times the Background Level
Wen-Rong Sun, Lei Liu, P. G. Kevrekidis
We unveil a mechanism enabling a fundamental rogue wave, expressed by a rational function of fourth degree, to reach a peak amplitude as high as a thousand times the background lev…