Miura-reciprocal transformations and localizable Poisson pencils (Q6138840)

scientific article; zbMATH DE number 7789592

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English	Miura-reciprocal transformations and localizable Poisson pencils	scientific article; zbMATH DE number 7789592

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instance of

scholarly article

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title

Miura-reciprocal transformations and localizable Poisson pencils (English)

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16 January 2024

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full work available at URL

https://arxiv.org/abs/2301.04475

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zbMATH Keywords

bi-Hamiltonian structure

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Hamiltonian operator

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Miura transformation

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reciprocal transformation

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MaRDI profile type

MaRDI publication profile

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cites work

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A polynomial bracket for the Dubrovin-Zhang hierarchies

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On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket

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A coordinate-free construction of conservation laws and reciprocal transformations for a class of integrable hydrodynamic-type systems

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Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets

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Normal forms of dispersive scalar Poisson brackets with two independent variables

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Central invariants revisited

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Three computational approaches to weakly nonlocal Poisson brackets

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A two-component generalization of the Camassa-Holm equation and its solutions

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Bihamiltonian cohomology of KdV brackets

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The bi-Hamiltonian cohomology of a scalar Poisson pencil

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Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed

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On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi‐Triviality of bi‐Hamiltonian perturbations

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Frobenius manifolds and central invariants for the Drinfeld-Sokolov bihamiltonian structures

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Differential geometric Poisson bivectors in one space variable

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Conformally plane metrics, systems of hydrodynamic type, and non-local Hamiltonian operators

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Reciprocal transformations of Hamiltonian operators of hydrodynamic type: Nonlocal Hamiltonian formalism for linearly degenerate systems

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Projective-geometric aspects of homogeneous third-order Hamiltonian operators

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Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation

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Integrable peakon equations with cubic nonlinearity

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Deformations of bi-Hamiltonian structures of hydrodynamic type

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Variational bihamiltonian cohomologies and integrable hierarchies. III: Linear reciprocal transformations

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On quasi-triviality and integrability of a class of scalar evolutionary PDEs

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Q4273954

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Identifiers

arXiv ID

2301.04475

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DOI

10.1088/1361-6544/ad1494

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6138840