σ₁ and σ₂ automorphism of the systems of equations of integrable hierarchies. Discrete and Backlund transformations

2005/03/16 by A. N. Leznov, Leznov, A. N.
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Numerical methods for differential equations #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0503043

14 pages

arxiv created 2005/03/16 · openalex publication_date 2005/03/16 · arxiv updated 2009/12/01 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

It is shown that there exists two inner authomorpism which lead to different form of the sistems equations of integrable hierarchy. We present discrete and Backlund transformation connected with such systems and a general formula for multi-soliton solutions based on these symmetries.

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