A note on the modified KP hierarchy and its (yet another) dispersionless limit
Takashi Takebe
TL;DR
This paper explores the modified KP hierarchy, its formulation in Lax formalism, and investigates its dispersionless limit, highlighting its mathematical structure and solution parametrization.
Contribution
It provides a formulation of the modified KP hierarchy in Lax formalism and examines its dispersionless limit, expanding understanding of its mathematical properties.
Findings
Formulation of modified KP hierarchy in Lax formalism
Analysis of its dispersionless limit
Solutions parametrized by flag varieties
Abstract
The modified KP hierarchies of Kashiwara and Miwa is formulated in Lax formalism by Dickey. Their solutions are parametrised by flag varieties. Its dispersionless limit is considered.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Physics Problems · Nonlinear Photonic Systems