The Properties and Applications of Solitons in Mathematical Physics
This course will mainly cover two parts. The first part introduces the properties of solitons in integrable systems. It includes a brief background on solitons, classical wave equations in integrable systems, relevant methods and characteristics of soliton solutions in classical wave equations.
The second part will discuss the application of solitons in nearly integrable systems with periodic potentials. It primarily focuses on the novel characteristics brought about by periodic potentials and introduces new concepts related to soliton waves in nearly integrable systems.
The second part will discuss the application of solitons in nearly integrable systems with periodic potentials. It primarily focuses on the novel characteristics brought about by periodic potentials and introduces new concepts related to soliton waves in nearly integrable systems.
Lecturer
Date
9th April ~ 4th June, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday,Friday | 13:30 - 16:05 | A3-2a-201 | ZOOM 11 | 435 529 7909 | BIMSA |
Reference
1: G. Fibich. The nonlinear Schrödinger equation. Berlin: Springer, 2015.
2: M. J. Ablowitz and P. A. Clarkson. Solitons, Nonlinear evolution equations and inverse scattering. Cambridge University Press, 2001.
3: T. Miwa, M. Jimbo, E. Date. Solitons: Differential equations, symmetries and infinite dimensional algebras. Cambridge University Press, 2000.
4: B. A. Malomed. Soliton management in periodic systems. Springer Science & Business Media, 2006.
5: O. Babelon, D. Bernard, M. Talon. Introduction to classical integrable systems. Cambridge University Press, 2003.
2: M. J. Ablowitz and P. A. Clarkson. Solitons, Nonlinear evolution equations and inverse scattering. Cambridge University Press, 2001.
3: T. Miwa, M. Jimbo, E. Date. Solitons: Differential equations, symmetries and infinite dimensional algebras. Cambridge University Press, 2000.
4: B. A. Malomed. Soliton management in periodic systems. Springer Science & Business Media, 2006.
5: O. Babelon, D. Bernard, M. Talon. Introduction to classical integrable systems. Cambridge University Press, 2003.
Audience
Undergraduate
, Advanced Undergraduate
, Graduate
Video Public
No
Notes Public
No
Language
Chinese