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<p>In this paper, we investigate the (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramanie model, a hybrid model unifying the Korteweg-de Vries and Sawada-Kotera equations. Using a quadratic function method supported by Mathematica, we derive two distinct families of localized lump solutions. By merging exponential and periodic functions, we further construct breather wave solutions. These solutions demonstrate a wide range of dynamical behaviors, emphasizing the equation’s ability to simulate intricate wave interactions.</p>

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Constructing Analytic Solutions for a Hybrid Korteweg-de Vries-Sawada-Kotera-Ramanie Model: Lump and Breather Waves

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月7日

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  • Li-Juan Peng

摘要

In this paper, we investigate the (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramanie model, a hybrid model unifying the Korteweg-de Vries and Sawada-Kotera equations. Using a quadratic function method supported by Mathematica, we derive two distinct families of localized lump solutions. By merging exponential and periodic functions, we further construct breather wave solutions. These solutions demonstrate a wide range of dynamical behaviors, emphasizing the equation’s ability to simulate intricate wave interactions.