A new soliton hierarchy associated with \(\mathrm{so} (3, \mathbb R)\) and its conservation laws
type: Item
instance of: scholarly article
title: A new soliton hierarchy associated with \(\mathrm{so} (3, \mathbb R)\) and its conservation laws
zbMATH Open document ID: 1400.37082
DOI: 10.1155/2016/3682579
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: Based on the three-dimensional real special orthogonal Lie algebra \(\mathrm{so} (3, \mathbb R)\), we construct a new hierarchy of soliton equations by zero curvature equations and show that each equation in the resulting hierarchy has a bi-Hamiltonian structure and thus integrable in the Liouville sense. Furthermore, we present the infinitely many conservation laws for the new soliton hierarchy.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 6953085
Wikidata QID: Q59130911
author: Hanyu Wei
author: Tiecheng Xia
author: Guo-Liang He
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/3682579
OpenAlex ID: W2464040222
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description: scientific article; zbMATH DE number 6953085