A new extended KP hierarchy

Abstract

A method is proposed to construct a new extended KP hierarchy, which includes two types of KP equation with self-consistent sources and admits reductions to k-constrained KP hierarchy and to Gelfand-Dickey hierarchy with sources. It provides a general way to construct soliton equations with sources and their Lax representations.

Published in Phys. Lett. A, 13 pages

References in corpus (7)

• The $n$-component KP hierarchy and representation theory
• Generalized Darboux transformations for the KP equation with self-consistent sources
• On the constrained KP hierarchy
• A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources
• Dressing method and the coupled KP hierarchy
• A New ``Dual'' Symmetry Structure of the KP Hierarchy
• Restricted Flows and the Soliton Equation with Self-Consistent Sources

Cited by in corpus (17)

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• Self-Consistent Sources for Integrable Equations via Deformations of Binary Darboux Transformations
• The q-deformed mKP hierarchy with self-consistent sources, Wronskian solutions and solitons
• A new extended discrete KP hierarchy and generalized dressing method
• Discrete KP equation with self-consistent sources
• The "ghost" symmetry in the CKP hierarchy
• A new multi-component two dimensional Toda lattice hierarchy and two dimensional Toda lattice with self-consistent sources
• A new extended matrix KP hierarchy and its solutions
• Discrete Darboux system with self-consistent sources and its symmetric reduction
• Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy
• On the squared eigenfunction symmetry of the Toda lattice hierarchy
• A new $({\gamma }_n,{\sigma }_k)-$ KP hierarchy and generalized dressing method
• A new bidirectional generalization of (2+1)-dimensional matrix k-constrained KP hierarchy
• Matrix generalizations of integrable systems with Lax integro-differential representations
• Squared Eigenfunction Symmetries for the BTL and CTL Hierarchies
• Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy