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1995 On the (modified) Kadomtsev-Petviashvili hierarchy
F. Gesztesy, K. Unterkofler
Differential Integral Equations 8(4): 797-812 (1995). DOI: 10.57262/die/1369055611


We present a novel approach to the Kadomtsev-Petviashvili (KP) hierarchy and its modified counterpart, the mKP hierarchy based on factorizations of formal pseudo-differential operators and a matrix-valued Lax operator for the mKP hierarchy. As a result of this framework we obtain new B\"acklund transformations for the KP hierarchy and the possibility of transferring classes of KP solutions into those of mKP solutions, and vice versa. As an application of our techniques we provide a new derivation of soliton solutions of the KP and mKP equation.


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F. Gesztesy. K. Unterkofler. "On the (modified) Kadomtsev-Petviashvili hierarchy." Differential Integral Equations 8 (4) 797 - 812, 1995.


Published: 1995
First available in Project Euclid: 20 May 2013

zbMATH: 0830.35117
MathSciNet: MR1306592
Digital Object Identifier: 10.57262/die/1369055611

Primary: 35Q53

Rights: Copyright © 1995 Khayyam Publishing, Inc.

Vol.8 • No. 4 • 1995
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