New coherent structures and interaction behavior for the new (2+1)-dimensional Korteweg-de Vries equation

Zitian Li

Chaos, Solitons & Fractals, 2024, vol. 184, issue C

Abstract: A new type of variable separation solutions for the (2+1)-dimensional Korteweg–de Vries equation is derived by means of an improved mapping approach. The lump solutions are constructed and the interaction phenomena between a lump wave and muliti-kink waves are discussed, and some of these solutions exhibit a rich dynamics, with a wide variety of qualitative behavior and structures that are exponentially localized, showing some novel features and interesting behaviors.

Keywords: Korteweg-de Vries equation; Improved mapping approach; Variable separation; Lump; Interaction (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005599

DOI: 10.1016/j.chaos.2024.115007

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