Work

Noncommutative Korteweg-de-Vries Equation

Year: 2000

Type: preprint

Abstract: We construct a deformation quantized version (ncKdV) of the KdV equation which possesses an infinite set of conserved densities. Solutions of the ncKdV are obtained from solutions of the KdV equation via a kind of Seiberg-Witten map. The ncKdV is related to a modified ncKdV equation by a noncommutative Miura transformation.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.hep-th/0007074

Authors: Dimakis, Aristophanes, Muller-Hoissen, Folkert

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1601808669

Cites: 9

Cited by: 22

Related to: 10