Year: 2024
Type: article
Abstract: A new vector-product Lie algebra is constructed for a reductive homogeneous space, which can lead to the presentation of two corresponding loop algebras. As a result, two integrable hierarchies of evolution equations are derived from a new form of zero-curvature equation. These hierarchies can be reduced to the heat equation, a special diffusion equation, a general linear Schrödinger equation, and a nonlinear Schrödinger-type equation. Notably, one of them exhibits a pseudo-Hamiltonian structure, which is derived from a new vector-product identity proposed in this paper.
Source: Mathematics
DOI: 10.3390/math12213322
Authors: Jian Zhou, Yufeng Zhang, Hongyi Zhang
Institutions: China University of Mining and Technology, Suqian University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,955
Awards: G4536593145, G6647390541
OpenAlex ID: W4403682818