Dimensional reductions of BKP and CKP hierarchies (Q2736749)

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scientific article; zbMATH DE number 1644848
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Dimensional reductions of BKP and CKP hierarchies
scientific article; zbMATH DE number 1644848

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    Dimensional reductions of BKP and CKP hierarchies (English)
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    11 September 2001
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    BKP hierarchy
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    dimensional reduction
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    integrable systems
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    CKP hierarchy
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    Pfaffian solutions
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    BKP and CKP hierarchies of integrable evolution equations are deduced from Kadomtsev-Petviashvili via a symmetry method. These systems appear to be symmetry reductions at first sight but are not on closer inspection. Special techniques to verify Pfaffian solutions for both the BKP and reduced BKP bilinear hierarchies is illustrated.
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