Solvability of the super KP equation and generalized of the Birkhoff decomposition (Q1117106)
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scientific article; zbMATH DE number 4090067
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability of the super KP equation and generalized of the Birkhoff decomposition |
scientific article; zbMATH DE number 4090067 |
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Solvability of the super KP equation and generalized of the Birkhoff decomposition (English)
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1988
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The paper is a tour de force in super-integrable systems. The author proves the unique solvability for the total hierarchy of the super K-P system. The main technical tool is the Birkhoff decomposition which is generalized here from previous work of the author. It is shown that the system studied encompasses the K-P system, the modified K-P system, and the K-P system with non-commutative coefficients. The paper is carefully written and is a welcome addition to the literature on completely integrable p.d.e.'s.
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conservation law
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super-integrable systems
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unique solvability
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total hierarchy
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super K-P system
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Birkhoff decomposition
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completely integrable p.d.e.'s
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