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

Author:

Gao Xin-Yi1ORCID,Guo Yong-Jiang1,Shan Wen-Rui1,Zhou Tian-Yu1

Affiliation:

1. State Key Laboratory of Information Photonics, and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

Abstract

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-Bäcklund transformations with some solitons. All of our results rely on the coefficients in that system.

Funder

Fundamental Research Funds for the Central Universities

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

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