The Kadomtsev{endash}Petviashvili equation as a source of integrable model equations

Journal Article · Sun Dec 01 00:00:00 EST 1996 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.531773· OSTI ID:434771

Maccari, A ^[1]

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1. Technical Institute ``G. Cardano,`` Piazza della Resistenza 1, 00015 Monterotondo Rome (Italy)

A new integrable and nonlinear partial differential equation (PDE) in 2+1 dimensions is obtained, by an asymptotically exact reduction method based on Fourier expansion and spatiotemporal rescaling, from the Kadomtsev{endash}Petviashvili equation. The integrability property is explicitly demonstrated, by exhibiting the corresponding Lax pair, that is obtained by applying the reduction technique to the Lax pair of the Kadomtsev{endash}Petviashvili equation. This model equation is likely to be of applicative relevance, because it may be considered a consistent approximation of a large class of nonlinear evolution PDEs. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 434771
• Journal Information: Journal of Mathematical Physics, Vol. 37, Issue 12; Other Information: PBD: Dec 1996
• Country of Publication: United States
• Language: English

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