The Degasperis-Procesi equation with self-consistent sources
Yehui Huang, Yunbo Zeng, Orlando Ragnisco
TL;DR
This paper introduces the Degasperis-Procesi equation with self-consistent sources, deriving its Lax pair, conservation laws, and explicit peakon solutions, expanding understanding of integrable systems with sources.
Contribution
It presents the first derivation of the DPESCS, along with its Lax representation, conservation laws, and peakon solutions, advancing the study of integrable equations with sources.
Findings
Derived the DPESCS equation.
Constructed Lax representation and conservation laws.
Obtained explicit peakon solutions.
Abstract
The Degasperis-Procesi equation with self-consistent sources(DPESCS) is derived. The Lax representation and the conservation laws for DPESCS are constructed. The peakon solution of DPESCS is obtained.
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.