σ₁ and σ₂ automorphism of the systems of equations of integrable hierarchies. Discrete and Backlund transformations
classification
🧮 math-ph
math.MP
keywords
backlunddiscreteequationsintegrablesigmasystemsauthomorpismautomorphism
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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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