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- Publisher
- Springer Journals
- Copyright
- Copyright
- Subject
- Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/BF00994642
- Publisher site
- See Article on Publisher Site
Abstract
An evolution equation is added to the generalized self-dual Yang-Mills equations. The evolution equation contains terms of negative powers of the spectral parameter as well as terms of positive powers. The Darboux matrix method is used to obtain explicit solutions, especially single and multiple solitons. All integrable soliton equations in the framework of AKNS system (inR n+1 orR 1+1) can be derived from the generalized Yang-Mills flows by reduction.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Dec 31, 2004