title: Generalized solutions to the Benjamin-Ono equations in sense of Colombeau.
abstract: 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.
authors.affiliation: Institute of Artificial Intelligence, College of Computer Science, Zhejiang University, Hangzhou 310027, China. xiaogangj@cise.zju.edu.cn.
authors.forename: Xiao-gang
authors.initials: XG
authors.lastname: Jin
authors.forename: Jian-gang
authors.initials: JG
authors.lastname: Yang
authors.forename: Jie
authors.initials: J
authors.lastname: Lin
mesh_terms: D000465:Algorithms; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted; D013598:Systems Theory