The integrability of a new fractional soliton hierarchy and its application (Q2142353)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The integrability of a new fractional soliton hierarchy and its application |
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The integrability of a new fractional soliton hierarchy and its application (English)
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27 May 2022
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Summary: 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 \(\left( 2 + 1\right)\)-dimensional Kadometsev-Petviashvili (KP) equation are soughed out by a cubic polynomial relation. Dynamic properties are analyzed in detail.
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fractional soliton equations
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zero-curvature representations
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Kadometsev-Petviashvili equation
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