Many fundamental nonlinear models in Classical/Quantum Physics (Fluids, Condensed Matter and Plasmas, Optics, Gravity, Statistics, Quantum Field and String Theories) are mathematically characterized by their integrability. Integrable models, described by discrete or continuous partial differential equations, exhibit regular and stable solutions with respect to large classes of initial data, characteristic parameters, and possible external perturbations. The identification and study of the main properties of integrable systems constitute a fundamental area of Theoretical Physics and Mathematics. The research activities of the MMNLP research group cover the following topics in the theory of integrable systems:
- Classification/construction of integrable systems from physical models and through algebraic/geometric methods.
- Constructive methods for exact or approximate solutions of Cauchy problems or boundary problems of nonlinear integrable systems with applications to classical and quantum systems.
- Analytical study of extreme phenomena of nonlinear waves, such as the formation and dynamics of anomalous waves, and their statistical description.
- Study of random matrices, eigenvalue distribution, fluctuations, and correlations.
Structured staff:
- Tamara Grava (coordinator) (SISSA)
- Davide Guzzetti (SISSA, PA)
- Paolo Rossi (University of Padova, PO)
- Igor Krasovsky (SISSA, PA)
- Danilo Lewinsky (UniTS RTB)
Link to MMNLP web site.
