|
|
| |
| |
|
|
|
|
| |
|
In the past
- Macroscopic approach to the Relativistic Extended Thermodynamics. (2003-2005)
- Direct and Inverse Scattering Theory of the matrix Zakharov-Shabat system with potentials vanishing at infinity. (2005-2010)
- Development of a method ( based on Inverse Scattering Transform (IST) and matrix exponential) to get explicit
solutions for some evolution equations such as matrix Nonlinear Schrödinger (mNLS), sine-Gordon and modified Korteweg-de Vries equations. (2006-2010)
- Time dependent scattering theory of the matrix Zakharov-Shabat system, in analogy to the time dependent scattering theory in quantum mechanics. (2007-2010)
Actually
- Direct and Inverse Scattering Theory of the discrete Zakharov-Shabat system. (with C. van der Mee)
- Exact solutions to the Integrable Discrete Nonlinear Schrödinger system
(IDNLS system) by using the IST and Marchenko equations. (with C. van der Mee)
- Explicit solutions of the defocusing NLS equations with boundary nonvanishing conditions. (with B. Prinari, C. van der Mee and F. Vitale)
- Closed form solutions to the Camassa-Holm equation. (with T. Aktosun and C. van der Mee)
|
|
|
| |
|
|
|
|
| |
|
