Researchers derive M-lump and hybrid solutions in a novel equation, highlighting their dynamic properties.
In this study, a novel (2+1)-dimensional generalized Sawada-Kotera (gSK) equation is first proposed, followed by the derivation of its corresponding Hirota bilinear form (bgSK). Utilizing the Hirota direct method and the “long-wave” limit of its N-soliton solutions, we obtain M-lump solutions that decay to a uniform background state in all spatial directions. Furthermore, we construct hybrid solutions consisting of M-lump and line-soliton (stripe-soliton) interactions. Finally, the dynamic properties and evolutionary behavior of these solutions are illustrated through detailed numerical simulations and graphical analysis.
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Wang et al. (2026) studied this question.
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