The Integrability of a New Fractional Soliton Hierarchy and Its Application

Xiao-ming Zhu and Jian-bing Zhang

Advances in Mathematical Physics, 2022, vol. 2022, issue 1

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.

Date: 2022
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https://doi.org/10.1155/2022/2200092

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:2200092

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