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