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Novel y-type and hybrid solutions for the \((2+1)\)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation

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Abstract

In this paper, the research object is \((2+1)\)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani (KdVSKR) equation. After adding new constraint, new solutions which contain y-type molecules are obtained. The process of lump molecules and y-type molecules before and after the collision is studied by long-wave limit method, and the kinetic behavior analysis is given. The interactions between y-type molecules and resonant soliton molecules, y-type molecules and breather molecules are obtained by combining velocity resonance method and mode resonance method, respectively. Finally, a novel hybrid solution containing lump molecule, breather molecule and y-type molecule is given, and the kinetic behavior is shown.

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  1. Department of Applied Mathematics, Donghua University, Shanghai, 201620, China

    Hongcai Ma, Yidan Gao & Aiping Deng

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  1. Hongcai Ma
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Ma, H., Gao, Y. & Deng, A. Novel y-type and hybrid solutions for the \((2+1)\)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation. Nonlinear Dyn 111, 4645–4656 (2023). https://doi.org/10.1007/s11071-022-08045-7

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