Complete integrability of the Kadomtsev-Petviashvili equation (Q1072025)
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scientific article; zbMATH DE number 3942093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete integrability of the Kadomtsev-Petviashvili equation |
scientific article; zbMATH DE number 3942093 |
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Complete integrability of the Kadomtsev-Petviashvili equation (English)
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1984
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The total hierarchy of the Kadomtsev-Petviashvili (KP) equation is transformed to the system of linear partial differential equations with constant coefficients. The complete integrability of the KP equation is proved by using this linear system. The existence and uniqueness theorem of the Cauchy problem of the KP hierarchy is obtained.
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Kadomtsev-Petviashvili equation
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total hierarchy
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linear partial differential equations with constant coefficients
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complete integrability
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Cauchy problem
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