Singular manifold, auto-Backlund transformations and symbolic-computation steps with solitons for an extended three-coupled Korteweg-de Vries system

被引：11
作者：
Gao, Xin-Yi
Guo, Yong-Jiang [1 ]
Shan, Wen-Rui [1 ]
Zhou, Tian-Yu
机构：
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2022年 / 19卷 / 14期
基金：
中国国家自然科学基金;
关键词：
Extended three-coupled Korteweg-de Vries system; noncharacteristic movable singular manifold; symbolic computation; Backlund transformations; solitons; KADOMTSEV-PETVIASHVILI EQUATION; COUPLED KDV EQUATION; SIMILARITY REDUCTIONS; WAVE INTERACTION; SYMMETRY;
D O I：
10.1142/S0219887822502292
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Korteweg-de Vries (KdV)-type models are frequently seen during the investigations on the optical fibers, cosmic plasmas, planetary oceans and atmospheres. In this paper, for an extended three-coupled KdV system, noncharacteristic movable singular manifold and symbolic computation help us bring about four sets of the auto-Backlund transformations with some solitons. All of our results rely on the coefficients in that system.
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页数：15
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