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Analysis of integrability of the generalized Kadomtsev-Petviashvili type model

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The existence of the Lax representation is established for the generalized Kadomtsev-Petviashvili (KP) model. One describes the class of completely integrable, two-dimensionalized equations of the KP type on operator manifolds.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 800–806, June, 1990.

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Pritula, N.N. Analysis of integrability of the generalized Kadomtsev-Petviashvili type model. Ukr Math J 42, 707–712 (1990). https://doi.org/10.1007/BF01058918

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  • DOI: https://doi.org/10.1007/BF01058918

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