A5101808086- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Advanced Fiber Laser Technologies
- Numerical methods for differential equations
- Fractional Differential Equations Solutions
- Molecular spectroscopy and chirality
- Quantum Mechanics and Non-Hermitian Physics
- Algebraic structures and combinatorial models
- Advanced Mathematical Physics Problems
- Neural Networks Stability and Synchronization
- Stability and Control of Uncertain Systems
- Cold Atom Physics and Bose-Einstein Condensates
- Elasticity and Wave Propagation
- Advanced Topics in Algebra
- Axial and Atropisomeric Chirality Synthesis
- Advanced Fiber Optic Sensors
- Advanced Differential Equations and Dynamical Systems
- Geotechnical Engineering and Underground Structures
- Model Reduction and Neural Networks
- Polynomial and algebraic computation
- Structural Integrity and Reliability Analysis
- Chaos control and synchronization
- Nanofluid Flow and Heat Transfer
- Mechanical stress and fatigue analysis
- Nonlinear Dynamics and Pattern Formation
Shenyang Normal University
2015-2024
Shanghai Maritime University
2019-2022
Chinese Academy of Sciences
2013-2014
Dalian University of Technology
2005-2009
Bohai University
2004-2005
Shanghai University
2004-2005
Starting from a discrete spectral problem, we derive hierarchy of nonlinear equations which include the Ablowitz-Ladik (AL) equation. We analytically study rogue-wave (DRW) solutions AL equation with three free parameters. The trajectories peaks and depressions profiles for first- second-order DRWs are produced by means analytical numerical methods. In particular, dispersion in parity-time ( PT) symmetric potential Ablowitz-Musslimani And consider non-autonomous DRW solutions, parameters...
The Darboux transformation method with 4×4 spectral problem has more complexity than 2×2 and 3×3 problems. In this paper, we start from a new discrete Lax pairs construct lattice hierarchy by properly choosing an auxiliary problem, which can be reduced to soliton hierarchy. For the obtained integrable coupling equation, establish apply gauge specific equation then explicit solutions of are obtained. Copyright © 2017 John Wiley & Sons, Ltd.
We present the nonautonomous discrete bright soliton solutions and their interactions in Ablowitz-Ladik (DAL) equation with variable coefficients, which possesses complicated wave propagation time differs from usual waves. The differential-difference similarity transformation allows us to relate of inhomogeneous DAL homogeneous equation. Propagation interaction behaviors solitons are analyzed through one- two-soliton solutions. study snaking behaviors, parabolic solitons. In addition,...