Work

Abelian versus non-Abelian Bäcklund charts: Some remarks

Year: 2019

Type: article

Abstract: Connections via Bäcklund transformations among different nonlinear evolution equations are investigated aiming to compare corresponding Abelian and non Abelian results. Specifically, links, via Bäcklund transformations, connecting Burgers and KdV-type hierarchies of nonlinear evolution equations are studied. Crucial differences as well as notable similarities between Bäcklund charts in the case of the Burgers -heat equation, on one side, and KdV-type equations, on the other, are considered. The Bäcklund charts constructed in [16] and [17], respectively, to connect Burgers and KdV-type hierarchies of operator nonlinear evolution equations show that the structures, in the non-commutative cases, are richer than the corresponding commutative ones.

Source: Evolution equations and control theory

DOI: 10.3934/eect.2019003

Authors: Sandra Carillo, Mauro Lo Schiavo, Cornelia Schiebold

Institutions: Sapienza University of Rome, Jan Kochanowski University, Mid Sweden University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2951319795

FWCI: 0.346

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Cited by: 6

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