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- Title
The Integrability of a New Fractional Soliton Hierarchy and Its Application.
- Authors
Zhu, Xiao-ming; Zhang, Jian-bing
- Abstract
Two fractional soliton equations are presented generated from the same spectral problem involved in a fractional potential by the zero-curvature representations. They are a kind of special reductions of the famous AKNS system. The two equations are integrable for they both possess explicit soliton solutions constructed by the N − fold Darboux transformation. As an application of the obtained solutions, new soliton solutions of the classic 2 + 1 -dimensional Kadometsev-Petviashvili (KP) equation are soughed out by a cubic polynomial relation. Dynamic properties are analyzed in detail.
- Subjects
DARBOUX transformations; EQUATIONS
- Publication
Advances in Mathematical Physics, 2022, p1
- ISSN
1687-9120
- Publication type
Article
- DOI
10.1155/2022/2200092