A5100740236- Nonlinear Photonic Systems
- Nonlinear Dynamics and Pattern Formation
- Quantum chaos and dynamical systems
- Nonlinear Waves and Solitons
- Advanced Fiber Laser Technologies
- Cold Atom Physics and Bose-Einstein Condensates
- Fluid Dynamics Simulations and Interactions
- Nonlocal and gradient elasticity in micro/nano structures
- Quantum Mechanics and Non-Hermitian Physics
Huazhong University of Science and Technology
2018-2020
South China Agricultural University
2017-2018
University of Minnesota
2017-2018
University of Massachusetts Amherst
2014-2016
In this work, we revisit a criterion, originally proposed in Friesecke & Pego (Friesecke 2004 Nonlinearity17, 207-227. (doi:10.1088/0951715/17/1/013)), for the stability of solitary travelling waves Hamiltonian, infinite-dimensional lattice dynamical systems. We discuss implications criterion from point view theory, both at level spectral analysis advance-delay differential equations co-travelling frame, as well that Floquet problem arising when considering wave periodic orbit modulo shift....
We study wave propagation in strongly nonlinear one-dimensional diatomic granular crystals under an impact load. Depending on the mass ratio of ``light'' to ``heavy'' beads, this system exhibits rich dynamics from highly localized traveling waves dispersive featuring strong attenuation. demonstrate experimentally resonant and antiresonant interactions particles, we verify that resonance results attenuation, leading efficient energy cascading without relying material damping. In process,...
In this work, we provide two complementary perspectives for the (spectral) stability of solitary traveling waves in Hamiltonian nonlinear dynamical lattices, which Fermi-Pasta-Ulam and Toda lattice are prototypical examples. One is as an eigenvalue problem a stationary solution cotraveling frame, while other periodic orbit modulo shifts. We connect eigenvalues former with Floquet multipliers latter using formulation derive energy-based spectral criterion. It states that sufficient (but not...
In J. Phys. Soc. Jpn. 83, 034404 (2014), we designed a scheme of waveguide arrays with long-range linear coupling effects and studied the bright solitons in this system. paper, further study dynamics dark grey such arrays. The numerical simulations show that stabilities depend on normalized decay length scaled input power. width level are studied. Our results may contribute to understanding discrete arrays, have potential applications optical communications all-optical networks.
A new type of discrete soliton, which we call zigzag solitons, is founded in two-component Rabi lattices with long-range hopping. The spontaneous symmetry breaking (SSB) solitons also studied. Through numerical simulation, found that by enhancing the intensity linearly-coupled effect or increasing total input power, SSB process from symmetric soliton to asymmetric will switch supercritical subcritical type. These results can help us better understand both and coupled effect.