Solution of nonlinear equations by trace methods

Author: Blohm H.

Source: Nonlinearity, Volume 13, Number 6, 2000 , pp. 1925-1964(40)

Publisher: IOP Publishing

Abstract:

A unifying approach to the solution of certain evolution equations is demonstrated by a method of explicit construction of solutions to such equations, which is good enough to provide solutions for given initial values, under certain restrictions. This is done by the explicit solution of inverse scattering problems associated with the Schr?dinger operator and the Zakharov-Shabat system, respectively. Moreover, the relation to zero-curvature conditions and Lax pairs is investigated. It is shown that the zero-curvature formulation can be used to describe exactly the class of treated equations.

Language: English

Document Type: Miscellaneous

Publication date: 2000-01-01

• In this: publication
• By this: publisher
• In this Subject: General & Civil Engineering ,  Mathematics and Statistics
• By this author: Blohm H.

Website © Publishing Technology. Article copyright remains with the publisher, society or author(s) as specified within the article.

• Terms and conditions
• Privacy policy
• Information for advertisers