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The Cauchy problem for the Kadomtsev–Petviashvili–I equation without the zero mass constraint

Published online by Cambridge University Press:  01 January 1999

A. S. FOKAS  and
LI-YENG SUNG
A. S. FOKAS
Affiliation:
Department of Mathematics, Imperial College, University of London, London, SW7 2BZ, UK and Institute for Nonlinear Studies, Clarkson University, Potsdan, 13699, USA
LI-YENG SUNG
Affiliation:
Department of Mathematics, University of South Carolina, Columbia, SC29208, USA
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Abstract

Existence and regularity results are obtained for the Cauchy problem for the Kadomtsev–Petviashvili–I equation by the inverse spectral method. The initial data are small Schwartz functions which are not assumed to satisfy the zero mass constraint ∫ℝdxq(x, y, 0)=0.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 125 , Issue 1 , January 1999 , pp. 113 - 138
Copyright
Cambridge Philosophical Society 1999

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