A new extended matrix KP hierarchy and its solutions

DOI10.1007/s11232-011-0045-7zbMath1417.37230arXiv1011.4430OpenAlexW3105674621MaRDI QIDQ377559

Mohammad Hasan, H. S. Yoon

Publication date: 6 November 2013

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4430

zbMATH Keywords

dressing methodLax representationself-consistent sourcesDavey-Stewartson equationmatrix KP hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (5)

Self-consistent sources for integrable equations via deformations of binary Darboux transformations ⋮ A new bidirectional generalization of (2+1)-dimensional matrix k-constrained Kadomtsev-Petviashvili hierarchy ⋮ Discrete KP equation with self-consistent sources ⋮ Bilinear Identities and Hirota's Bilinear Forms for an Extended Kadomtsev-Petviashvili Hierarchy ⋮ Additional reductions in the \(k\)-constrained modified KP hierarchy

Cites Work

• Unnamed Item
• Unnamed Item
• A new extended KP hierarchy
• The Davey-Stewartson equation with sources derived from nonlinear variable separation method
• On equations for wave interactions
• A direct method for deriving a multi-soliton solution for the problem of interaction of waves on the x,y plane
• Darboux theorems and Wronskian formulas for integrable systems. I: Constrained KP flows
• Interaction of solitary waves in the system described by the Kadomtsev- Petviashvili equation with a self-consistent source
• Generalized Darboux transformations for the KP equation with self-consistent sources
• Source generation of the Davey-Stewartson equation
• A generalized dressing approach for solving the extended KP and the extended mKP hierarchy
• EXPLICIT SOLUTION FORMULAS FOR THE MATRIX-KP
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• Constraints of the Kadomtsev–Petviashvili hierarchy
• Matrix Kadomtsev Petviashvili equation: matrix identities and explicit non-singular solutions
• Derivative and higher-order extensions of Davey–Stewartson equation from matrix Kadomtsev–Petviashvili hierarchy
• The remarkable relations among PDEs integrable by the inverse spectral transform method, by the method of characteristics and by the Hopf–Cole transformation

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