Cover Image

The noncommutative KP hierarchy and its solution via descent algebra

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Blower, Gordon, Malham, Simon J. A.
Format:	Preprint
Published:	2025
Subjects:	Exactly Solvable and Integrable Systems Mathematical Physics Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Direct linearisation of the non-commutative Kadomtsev-Petviashvili equations
by: Blower, Gordon, et al.
Published: (2024)

A Lorentzian SU(3)-covariant noncommutative KP hierarchy and hypercomplex gauge fields
by: Magnot, Jean-Pierre
Published: (2026)

Dispersionless version of the multicomponent KP hierarchy revisited
by: Zabrodin, A.
Published: (2024)

Exact solutions and reductions of nonlinear Schrödinger equations with delay
by: Polyanin, Andrei D., et al.
Published: (2024)

Closed-form solutions of the nonlinear Schrödinger equation with arbitrary dispersion and potential
by: Polyanin, Andrei D., et al.
Published: (2024)

On the c-k constrained KP and BKP hierarchies: the Fermionic pictures, solutions and additional symmetries
by: Tian, Kelei, et al.
Published: (2024)

Revisiting Bäcklund-Darboux transformations for KP and BKP integrable hierarchies
by: Zabrodin, A.
Published: (2025)

Explicit solution for the hyperbolic homogeneous scalar one-dimensional conservation law
by: Clamond, Didier
Published: (2025)

Focusing mKdV equation: Two-phase solutions and their stability analysis
by: Ling, Liming, et al.
Published: (2025)

Primary branch solutions of first order autonomous scalar partial differential equations
by: Lou, Sen-Yue, et al.
Published: (2014)

Bilinear formalism for Schwarzian KP and Harry Dym hierarchies
by: Prokofev, Vadim, et al.
Published: (2026)

Two-dimensional nonlinear Schrödinger equations with potential and dispersion given by arbitrary functions: Reductions and exact solutions
by: Polyanin, Andrei D.
Published: (2025)

Lagrangian multiforms for Kadomtsev-Petviashvili (KP) and the Gelfand-Dickey hierarchy
by: Sleigh, Duncan, et al.
Published: (2020)

Energy cascades and condensation via coherent dynamics in Hamiltonian systems
by: Biasi, Anxo, et al.
Published: (2024)

Nonlinear stability of vector multi-solitons in coupled NLS and modified KdV equations
by: Ling, Liming, et al.
Published: (2025)

On Cauchy problem to the modified Camassa-Holm equation: Painlevé asymptotics
by: Tong, Jia-Fu, et al.
Published: (2025)

On soliton resolution to Cauchy problem of the spin-1 Gross-Pitaevskii equation
by: Tian, Shou-Fu, et al.
Published: (2025)

On the $N_\infty$-soliton asymptotics for the modified Camassa-Holm equation with linear dispersion and vanishing boundaries
by: Weng, Weifang, et al.
Published: (2025)

Soliton resolution for the coupled complex short pulse equation
by: Liu, Nan, et al.
Published: (2025)

Reducing of system of partial differential equations and generalized symmetry of ordinary differential equations
by: Tsyfra, I. M., et al.
Published: (2025)

Dirichlet energy and focusing NLS condensates of minimal intensity
by: Bertola, Marco, et al.
Published: (2024)

Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening
by: Biondini, Gino, et al.
Published: (2024)

Painlevé XXXIV asymptotics for the defocusing nonlinear Schrödinger equation with a finite-genus algebro-geometric background
by: Fan, Engui, et al.
Published: (2026)

On the non-chiral intermediate long wave equation II: periodic case
by: Berntson, Bjorn K., et al.
Published: (2021)

The half-wave maps equation on $\mathbb{T}$: Global well-posedness in $H^{1/2}$ and almost periodicity
by: Gérard, Patrick, et al.
Published: (2026)

Rigorous asymptotic analysis for the Riemann problem of the defocusing nonlinear Schrödinger hydrodynamics
by: Wang, Deng-Shan, et al.
Published: (2023)

Global Well-Posedness and Soliton Resolution for the Half-Wave Maps Equation with Rational Data
by: Gérard, Patrick, et al.
Published: (2024)

On continual classes of evolution equations
by: Sakovich, Sergei
Published: (2005)

Multicomponent DKP hierarchy and its dispersionless limit
by: Savchenko, A., et al.
Published: (2024)

Reduction properties of the KP-mKP hierarchy
by: Geng, Lumin, et al.
Published: (2025)

The bilinear fermionic form for KP and BKP hierarchies
by: Guo, Shuai, et al.
Published: (2025)

Exponential and algebraic double-soliton solutions of the massive Thirring model
by: Li, Zhi-Qiang, et al.
Published: (2024)

The Painlevé I hierarchy: Correspondence between the isomonodromic approach and the minimal models of the KP hierarchy
by: Alameddine, Mohamad, et al.
Published: (2025)

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies
by: Euler, Marianna, et al.
Published: (2025)

Additional symmetries of the KP-mKP hierarchy and Virasoro constraints to the Burgers-KdV hierarchy
by: Feng, Zongyao, et al.
Published: (2026)

The extended versions of the noncommutative KP and mKP equations and Miura transformation
by: Kashif, Muhammad, et al.
Published: (2024)

A $\mathcal C^\infty$-structure-based approach to traveling wave solutions of the gKdV equation
by: Pan-Collantes, Antonio J.
Published: (2025)

On Large-Space and Long-Time Asymptotic Behaviors of Kink-Soliton Gases in the Sine-Gordon Equation
by: Zhang, Guoqiang, et al.
Published: (2025)

Dispersionless limit of the B-Toda hierarchy
by: Zabrodin, A.
Published: (2024)

Multi-component Toda lattice hierarchy
by: Takebe, T., et al.
Published: (2024)