Soliton equations in N-dimensions as exact reductions of the Self-Dual Yang-Mills equation V. Simplest (2+1)-dimensional soliton equations

2000/02/08 by R. Myrzakul, Kur. R. Myrzakul, Myrzakul, Kur. R. +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th #math-ph #math.DG #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0002019

25 pages, Latex, no figures

arxiv created 2000/02/08 · openalex publication_date 2000/02/08 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Some aspects of the multidimensional soliton geometry are considered. It is shown that some simples (2+1)-dimensional equations are exact reductions of the Self-Dual Yang-Mills equation or its higher hierarchy.

Citations

• Soliton equations in N-dimensions as exact reductions of Self-dual Yang-Mills equation III. Soliton geometry in 2+1 and 3+1 dimensions

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