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

1999/10/23 by Kur. Myrzakul, Myrzakul, Kur. R., Ratbay Myrzakulov +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.math/9910125

openalex publication_date 1999/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some aspects of the relation between differential geometry of curves and surfaces and multidimensional soliton equations is discussed. The connection between multidimensional soliton equations and Self-dual Yang-Mills equation is studied.

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

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