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arxiv: math-ph/0703066 · v1 · submitted 2007-03-21 · 🧮 math-ph · math.MP

Multisoliton solutions of 3,4,6 waves problems connectet with semisimlealgebras of the second rank A₃,B₂=C₂,G₂

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With each semisimple algebra it is possible to connect the system of interacting waves. The number of interacting fields coincides with the number of positive roots of corresponding semisimple algebra. Multisoliton solution of such kind problem are represented in explicit form for the algebras of second rank.

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