“Riemann equations” in bidifferential calculus (Q3450571)

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English	“Riemann equations” in bidifferential calculus	scientific article

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scholarly article

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“Riemann equations” in bidifferential calculus (English)

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Oleksandr Chvartatskyi

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Nikola M. Stoilov

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Folkert Mueller-Hoissen

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Journal of Mathematical Physics

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publication date

6 November 2015

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full work available at URL

https://arxiv.org/abs/1409.1154

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zbMATH Keywords

bidifferential calculus

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Cole-Hopf transformation

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MaRDI profile type

MaRDI publication profile

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BREAKING SOLITONS. V. SYSTEMS OF HYDRODYNAMIC TYPE

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Several conjectures and results in the theory of integrable Hamiltonian systems of hydrodynamic type, which do not possess Riemann invariants

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The Hopf-Cole transformation and the KP equation

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Hopf-Cole transformation to some systems of partial differential equations

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Darboux transformations and linear parabolic partial differential equations

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The general solution of the matrix equation \(w_t + \sum^n_{k=1} w_{x_k}\rho^{(k)}(w) = \rho (w) + [w, T \tilde{\rho}(w)]\)

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Lower-dimensional reductions of GL(M,C) self-dual Yang Mills equation: Solutions with break of wave profiles

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Bi-differential calculi and integrable models

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Bidifferential graded algebras and integrable systems

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Binary Darboux transformations in bidifferential calculus and integrable reductions of vacuum Einstein equations

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Nonlinear evolution equations, rescalings, model PDES and their integrability: I

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<i>C</i>-integrable nonlinear partial differentiation equations. I

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<i>C</i>-Integrable nonlinear partial differential equations in <i>N</i>+1 dimensions

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The non-autonomous chiral model and the ernst equation of general relativity in the bidifferential calculus framework

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Inverse scattering method with variable spectral parameter

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Breaking solitons in 2+1-dimensional integrable equations

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Multicomponent equations associated to non-isospectral scattering problems

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Multicomponent Burgers and KP hierarchies, and solutions from a matrix linear system

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Symmetries of the discrete Burgers equation

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A new family of integrable models in (2+1) dimensions associated with Hermitian symmetric spaces

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BREAKING SOLITONS. III

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Nonsingular solutions of TA-BT=C

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Darboux transformation and two-dimensional Toda lattice

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Integrable Hierarchy Covering the Lattice Burgers Equation in Fluid Mechanics: <i>N</i> -fold Darboux Transformation and Conservation Laws

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Dynamics of social diversity

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Functional representations of integrable hierarchies

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Non-integrable lattice equations supporting kink and soliton solutions

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Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation

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Darboux transformations for the two-dimensional Toda system

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On Hirota's difference equations

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On a non-Abelian Hirota–Miwa equation

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Bicomplex formulation and Moyal deformation of (2+1)-dimensional Fordy-Kulish systems

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Nonlinear Schrödinger equations and simple Lie algebras

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Solutions of matrix NLS systems and their discretizations: a unified treatment

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Finite time singularities in a 1D model of the quasi-geostrophic equation

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Integrability and a new breed of solitons of an NLS type equation in \(2+1\) dimensions

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KP line solitons and Tamari lattices

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KP Solitons, Higher Bruhat and Tamari Orders

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On a direct approach to quasideterminant solutions of a noncommutative KP equation

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Dressing procedure for solutions of non-linear equations and the method of operator identities

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Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation

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Dromion solutions of noncommutative Davey–Stewartson equations

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On three-dimensional packets of surface waves

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Bidifferential calculus approach to AKNS hierarchies and their solutions

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The problem of integrable discretization: Hamiltonian approach

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Identifiers

zbMATH Open document ID

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10.1063/1.4934238

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3450571

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