17 citations · 32 across the 9 of their papers we have counts for
10 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…
The instabilities beyond modulational type in a repulsive Bose-Einstein condensate with a periodic potential
Wen-Rong Sun, Jin-Hua Li, Lei Liu +1
The instabilities of the nontrivial phase elliptic solutions in a repulsive Bose-Einstein condensate (BEC) with a periodic potential are investigated. Based on the defocusing nonli…
Time-localized dark modes generated by zero-wavenumber-gain modulational instability
Lei Liu, Wen-Rong Sun, Boris A. Malomed +1
In this work we report on the emergence of a novel type of solitary waves, viz., time-localized solitons in integrable and non-integrable variants of the massive Thirring models an…
Periodic traveling waves in the ϕ^4 model: Instability, stability and localized structures
Meng-Meng Liu, Wen-Rong Sun, Lei Liu +2
We consider the instability and stability of periodic stationary solutions to the classical ϕ^4 equation numerically. In the superluminal regime, the model possesses dnoidal and cn…
Formation of rogue waves and modulational instability with zero-wavenumber gain in multi-component systems with coherent coupling
Lei Liu, Wen-Rong Sun, Boris A. Malomed
It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant intera…
The orbital stability of the periodic traveling wave solutions to the defocusing complex modified Korteweg-de Vries equation
Wen-Rong Sun
The stability of the elliptic solutions to the defocusing complex modified Korteweg-de Vries (cmKdV) equation is studied. The orbital stability of the cmKdV equation was establishe…
Stability of elliptic solutions to the sinh-Gordon equation
Wen-Rong Sun, Bernard Deconinck
Using the integrability of the sinh-Gordon equation, we demonstrate the spectral stability of its elliptic solutions. By constructing a Lyapunov functional using higher-order conse…
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…