Construction of degenerate lump solutions for (2+1)-dimensional Yu-Toda-Sasa-Fukuyama equation

Wentao Li and Biao Li

Chaos, Solitons & Fractals, 2024, vol. 180, issue C

Abstract: By utilizing Hirota’s bilinear and a novel limit method, the degenerate lump solutions including anomalous scattering of lumps and weak interaction of multiple lumps can be derived from the N soliton solutions of the Yu-Toda-Sasa-Fukuyama (YTSF) equation. By improving the traditional limit method, anomalous scattering of two lumps can be obtained, and the asymptotic behavior of the anomalous scattering lumps is carefully discussed in detail. Furthermore, weak interactions of multiple lumps containing interesting patterns such as triangles and quadrilaterals are derived, and the dynamic behavior of two types of weak interactions is also investigated. In addition, the interaction between lump and anomalous scattering lumps is also explored. These rare degenerate lump solutions can enrich the understanding of lump properties.

Keywords: Lump; Degenerate solutions; Anomalous scattering; YTSF equation (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001231

DOI: 10.1016/j.chaos.2024.114572

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