ncku-talk2007-05-17

NCKU Math colloquium

DATE 2007-05-17　16:10-17:00

PLACE 數學館地下室演講廳

SPEAKER 李俊德博士 (Chun-Te Lee)（Mathematical Institute, St Catherine's College, University of Oxford, UK）

TITLE Solitons and bi-Hamiltonian structure

ABSTRACT One of the many important aspects of soliton theory is the interpretation of soliton equations as completely integrable Hamiltonian systems. Among those are the differential equations that can be written in Hamiltonian form in two distinct ways. Such a system is called bi-Hamiltonian and usually has infinite hierarchy of mutually commuting conservation laws.
In this talk, numerical investigations have been conducted on a bi-Hamiltonian and non-bi-Hamiltonian structure to say a few words to the effect that solitons and bi-Hamiltonian structure is closely related in some way.
In other words, we would like to discuss whether several solitary waves can move in the same direction and pass through each other almost without change of their wave forms except for phase shifts in two different kinds of equation structures.

NCKU Math colloquium

DATE	2007-05-17　16:10-17:00

PLACE	數學館地下室演講廳

SPEAKER	李俊德博士 (Chun-Te Lee)（Mathematical Institute, St Catherine's College, University of Oxford, UK）

TITLE	Solitons and bi-Hamiltonian structure

ABSTRACT	One of the many important aspects of soliton theory is the interpretation of soliton equations as completely integrable Hamiltonian systems. Among those are the differential equations that can be written in Hamiltonian form in two distinct ways. Such a system is called bi-Hamiltonian and usually has infinite hierarchy of mutually commuting conservation laws. In this talk, numerical investigations have been conducted on a bi-Hamiltonian and non-bi-Hamiltonian structure to say a few words to the effect that solitons and bi-Hamiltonian structure is closely related in some way. In other words, we would like to discuss whether several solitary waves can move in the same direction and pass through each other almost without change of their wave forms except for phase shifts in two different kinds of equation structures.