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

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  • Li, Wentao
  • Li, Biao

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.

Suggested Citation

  • Li, Wentao & Li, Biao, 2024. "Construction of degenerate lump solutions for (2+1)-dimensional Yu-Toda-Sasa-Fukuyama equation," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001231
    DOI: 10.1016/j.chaos.2024.114572
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    References listed on IDEAS

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    1. Li, Jiaheng & Li, Biao, 2022. "Mix-training physics-informed neural networks for the rogue waves of nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Chen, Junchao & Song, Jin & Zhou, Zijian & Yan, Zhenya, 2023. "Data-driven localized waves and parameter discovery in the massive Thirring model via extended physics-informed neural networks with interface zones," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    3. D. R. Solli & C. Ropers & P. Koonath & B. Jalali, 2007. "Optical rogue waves," Nature, Nature, vol. 450(7172), pages 1054-1057, December.
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    1. Liu, Yindi & Zhao, Zhonglong, 2024. "Periodic line wave, rogue waves and the interaction solutions of the (2+1)-dimensional integrable Kadomtsev–Petviashvili-based system," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).

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