Publications - Sorted by Research Topics

Nonlinear Partial Differential Equations

Justification of amplitude equations
Stability of nonlinear waves
Inverse scattering and integrable systems
Wave breaking and global solutions
Nonlinear waves on graphs

Discrete Dynamical Systems

Approximation of nonlinear waves
Stability of discrete breathers
Persistence of travelling waves
Analysis of PT-symmetric lattices

Mathematical Modeling

Nonlinear waves in Bose-Einstein condensates
Modeling in nonlinear and photonic optics
Analysis of fluid flows
Numerical methods for nonlinear PDEs
Averaging of time-periodic systems under dispersion or nonlinearity managements
Modeling of neural networks

Teaching Texts

Textbooks, Coursewares, Contributions