The Painlevé property, a modified Boussinesq equation and a modified Kadomtsev-Petviashvili equation
type: Item
instance of: scholarly article
title: The Painlevé property, a modified Boussinesq equation and a modified Kadomtsev-Petviashvili equation
zbMATH Open document ID: 0616.35080
DOI: 10.1016/0167-2789(86)90071-0
published in: Physica D
publication date: 1986-01-01T00:00:00Z
review text: The author shows that the modified Boussinesq equation and the modified Kadomtsev-Petviashvili equation, both of which are known to be completely integrable, possess the Painlevé property for partial differential equations as defined by \textit{J. Weiss, M. Tabor} and \textit{G. Carnevale} [J. Math. Phys. 24, 522-526 (1983; Zbl 0514.35083)].
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 35A20
Mathematics Subject Classification ID: 33E05
zbMATH DE Number: 3998381
zbMATH Keywords: Boussinesq equation
zbMATH Keywords: Kadomtsev-Petviashvili equation
zbMATH Keywords: completely integrable
zbMATH Keywords: Painlevé property
author: Peter A. Clarkson
MaRDI profile type: Publication
full work available at URL: 0167-2789(86)90071-0
OpenAlex ID: W2093707152
cites work: A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
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cites work: Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
cites work: The Painlevé Property and Hirota's Method
cites work: The inverse scattering transform: Semi-infinite interval
description: scientific article; zbMATH DE number 3998381