Well-posedness of generalized Kadomtsev-Petviashvili systems
Jean-Pierre Magnot, Enrique G. Reyes
TL;DR
This paper reviews various results on the well-posedness of generalized Kadomtsev-Petviashvili hierarchies, covering both published and unpublished work.
Contribution
It compiles and discusses the authors' findings on the well-posedness of generalized KP systems, including new insights and unresolved questions.
Findings
Established well-posedness for certain KP hierarchies
Identified conditions for stability and uniqueness
Highlighted open problems in the field
Abstract
We review our results, published, prepublished or unpublished, on the well-posedness of selected generalized Kadomtsev-Petviashvili hierarchies.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Algebra and Geometry · Advanced Differential Equations and Dynamical Systems