Generalized solutions to the Benjamin-Ono equations in sense of Colombeau.
This paper discusses the existence and uniqueness of the generalized solution in the sense of Colombeau to the Benjamin-Ono (B-O) equation and the relationship between the new generalized solution and the classical solution.
Jin
Xiao-gang
XG
Institute of Artificial Intelligence, College of Computer Science, Zhejiang University, Hangzhou 310027, China. xiaogangj@cise.zju.edu.cn.
Yang
Jian-gang
JG
Lin
Jie
J
D000465:Algorithms; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted; D013598:Systems Theory