$σ_1$ and $σ_2$ automorphism of the systems of equations of integrable hierarchies. Discrete and Backlund transformations

Details $σ_1$ and $σ_2$ automorphism of the systems of equations of integrable hierarchies. Discrete and Backlund transformations $σ_1$ and $σ_2$ automorphism of the systems of equations of integrable hierarchies. Discrete and Backlund transformations

2005-03-16

arxiv.org/abs/math-ph/0503043v1

Physics

Mathematical Physics

14 pages

Scientific paper

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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