Open-Ocean Shallow-Water Dynamics via a (2+1)-Dimensional Generalized Variable-Coefficient Hirota-Satsuma-Ito System: Oceanic Auto-Bäcklund Transformation and Oceanic Solitons

被引：29

作者：

Gao, Xin-yi ^{[1
,2
,3
]}

机构：

[1] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China

[2] North China Univ Technol, Beijing Key Lab Integrat & Anal Large Scale Stream, Beijing 100144, Peoples R China

[3] Beijing Municipal Educ Commiss, Beijing Lab New Energy Storage Technol, Beijing 102206, Peoples R China

来源：

CHINA OCEAN ENGINEERING | 2025年 / 39卷 / 03期

关键词：

ocean; shallow water; (2+1)-dimensional generalized variable-coefficient Hirota-Satsuma-Ito system; singular manifold; symbolic computation; B & auml; cklund transformation; soliton; EQUATION;

D O I：

10.1007/s13344-025-0057-y

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

Recently, during the investigations on planetary oceans, Hirota-Satsuma-Ito-type models have been developed. In this paper, for a (2+1)-dimensional generalized variable-coefficient Hirota-Satsuma-Ito system describing the fluid dynamics of shallow-water waves in an open ocean, non-characteristic movable singular manifold and symbolic computation enable an oceanic auto-B & auml;cklund transformation with three sets of the oceanic solitonic solutions. The results rely on the oceanic variable coefficients in that system. Future oceanic observations might detect some nonlinear features predicted in this paper, and relevant oceanographic insights might be expected.

引用

页码：541 / 547

页数：7

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