A new bidirectional generalization of (2+1)-dimensional matrix k-constrained Kadomtsev-Petviashvili hierarchy
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Publication:5410927
DOI10.1063/1.4830025zbMath1298.37048arXiv1303.6510OpenAlexW3103778668MaRDI QIDQ5410927
O. I. Chvartatskyi, Yu. M. Sydorenko
Publication date: 17 April 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.6510
Related Items (2)
Inverse scattering transform in two spatial dimensions for the \(N\)-wave interaction problem with a dispersive term ⋮ Additional reductions in the \(k\)-constrained modified KP hierarchy
Cites Work
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- A new extended matrix KP hierarchy and its solutions
- A new extended KP hierarchy
- Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
- On equations for wave interactions
- Solitons and infinite dimensional Lie algebras
- Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation
- Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
- A direct method for deriving a multi-soliton solution for the problem of interaction of waves on the x,y plane
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- Darboux theorems and Wronskian formulas for integrable systems. I: Constrained KP flows
- The exact solutions of some multicomponent integrable models.
- A new (\(1 + 1\))-dimensional matrix \(k\)-constrained KP hierarchy
- Darboux type theorems and transformation operators for nonlocal reduced Hermitian Kadomtsev-Petviashvili hierarchy (H\(k\)-cKP)
- Constrained KP Hierarchies: Additional Symmetries, Darboux–Bäcklund Solutions and Relations to Multi-Matrix Models
- A New (γ A , σ B )-Matrix KP Hierarchy and Its Solutions
- An extended Harry Dym hierarchy
- A generalized dressing approach for solving the extended KP and the extended mKP hierarchy
- BÄCKLUND TRANSFORMATIONS FOR NON-COMMUTATIVE ANTI-SELF-DUAL YANG–MILLS EQUATIONS
- Dromion solutions of noncommutative Davey–Stewartson equations
- Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
- Soliton structure of the Drinfel’d–Sokolov–Wilson equation
- Integrable equations in (2+1) dimensions associated with symmetric and homogeneous spaces
- Symmetry constraints of the KP hierarchy
- Constraints of the 2+1 dimensional integrable soliton systems
- Darboux transforms for Davey-Stewartson equations and solitons in multidimensions
- Constraints of the Kadomtsev–Petviashvili hierarchy
- Multicomponent integrable reductions in the Kadomtsev–Petviashvilli hierarchy
- On the simplest integrable equation in 2+1
- Solutions for the vector k-constrained KP hierarchy
- Binary Darboux transformations for constrained KP hierarchies
- Solving the constrained KP hierarchy by gauge transformations
- Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
- Symmetry reductions of the BKP hierarchy
- Gauge transformations of constrained KP flows: New integrable hierarchies
- Wronskian solutions of the constrained Kadomtsev–Petviashvili hierarchy
- Integrable Hamiltonian hierarchies. Spectral and geometric methods
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