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The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra - MaRDI portal

The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra (Q2140097)

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Language	Label	Description	Also known as
English	The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra	scientific article

Statements

scholarly article

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The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra (English)

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Simon J. A. Malham

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publication date

20 May 2022

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full work available at URL

https://arxiv.org/abs/2108.04514

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zbMATH Keywords

KdV hierarchy

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Grassmannian flow

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combinatorial Pöppe algebra

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MaRDI profile type

MaRDI publication profile

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Construction of solutions of the sine-Gordon equation by means of Fredholm determinants

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The Fredholm determinant method for the KdV equations

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General determinants and the tau function for the Kadomtsev-Petviashvili hierarchy

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Fredholm determinants and the \(\tau\) function for the Kadomtsev- Petviashvili hierarchy

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The Zakharov–Shabat inverse spectral problem for operators

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Grassmannian flows and applications to non-commutative non-local and local integrable systems

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Integrability of local and non-local non-commutative fourth-order quintic non-linear Schrödinger equations

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Fredholm determinants and inverse scattering problems

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A connection between nonlinear evolution equations and ordinary differential equations of P-type. II

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Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I

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Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II

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Unified Transform for Boundary Value Problems

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Fredholm determinants

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Grassmannian flows and applications to nonlinear partial differential equations

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Partial differential systems with non-local nonlinearities: generation and solutions

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Nonlinear Schrödinger equations and simple Lie algebras

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Geometry of KdV. IV: Abel sums, Jacobi variety, and theta function in the scattering case

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On some linear integral equations generating solutions of nonlinear partial differential equations

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Noncommutative Korteweg–de Vries and modified Korteweg–de Vries hierarchies via recursion methods

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Matrix Korteweg-de Vries and modified Korteweg-de Vries hierarchies: Noncommutative soliton solutions

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Nonlinear evolution equations: Bäcklund transformations and Bäcklund charts

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AKNS and NLS hierarchies, MRW solutions, <i>P</i> <i>n</i> breathers, and beyond

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On realizations of solutions of the KdV equation by determinants on operator ideals

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NONCOMMUTATIVE KdV HIERARCHY

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Multidimensional Soliton Integrodifferential Systems

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Quadratic double ramification integrals and the noncommutative KdV hierarchy

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Weakly Nonassociative Algebras, Riccati and KP Hierarchies

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An algebraic scheme associated with the non-commutative KP hierarchy and some of its extensions

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Stochastic expansions and Hopf algebras

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Algebraic structure of stochastic expansions and efficient simulation

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The exponential Lie series for continuous semimartingales

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Multicomponent integrable wave equations: II. Soliton solutions

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Helical solitons in vector modified Korteweg-de Vries equations

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Drinfel'd-Sokolov construction and exact solutions of vector modified KdV hierarchy

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On classical solutions of the KdV equation

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Soliton Theory and Hankel Operators

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The cubic szego equation and hankel operators

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Loop groups and equations of KdV type

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Bispectral KP solutions and linearization of Calogero-Moser particle systems

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Lagrangian Grassmannian in infinite dimension

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Computing the Maslov index for large systems

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Algebraic structures and stochastic differential equations driven by Lévy processes

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Integrable Nonlocal Nonlinear Equations

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Superposition of the coupled NLS and MKdV systems

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Nonlocal modified KdV equations and their soliton solutions by Hirota method

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Nonlocal nonlinear Schrödinger equations and their soliton solutions

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Nonlocal KdV equations

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Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation

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Identifiers

zbMATH Open document ID

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10.1016/j.physd.2022.133228

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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