Elastic collision among higher rogue waves and multi-solitons for nonlinear model of Rossby waves

Na Cao, XiaoJun Yin and LiYang Xu

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 249, issue C, 323-338

Abstract: Three new paradigms are established by three theorems to describe elastic collisions among second-order rogue waves and multiple solitons. We apply three paradigms to the (2+1)-dimensional KP model for Rossby waves’ amplitude, this equation can be utilized to elaborate resonance phenomenon of Rossby waves. A phenomenon which demonstrated by the three sets of diagrams of the interactions is worth deeper consideration: when second-order rogue waves encounter solitons, the solitons cross over the second-order rogue waves, instead of being absorbed, maintain their speed, shape, and propagation direction. Meanwhile the second-order rogue waves evolving independently, instead of being swallowed by solitons, even retain their original position. An important conclusion is drawn: the collision among them is elastic. These finding challenges conventional understanding of rogue wave generation.

Keywords: Rossby waves; Rogue-soliton solutions; Interaction solutions; Elastic collision (search for similar items in EconPapers)
Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475426002144
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:249:y:2026:i:c:p:323-338

DOI: 10.1016/j.matcom.2026.05.017

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().