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On Lax operators (Q6158637)

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scientific article; zbMATH DE number 7698629

Language	Label	Description	Also known as
English	On Lax operators	scientific article; zbMATH DE number 7698629

Statements

scholarly article

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On Lax operators (English)

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Alberto De Sole

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Japanese Journal of Mathematics. 3rd Series

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publication date

20 June 2023

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full work available at URL

https://arxiv.org/abs/2107.07280

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https://eprints.gla.ac.uk/255637/2/255637.pdf

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zbMATH Keywords

Lax equation

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Lax operator

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KP hierarchy

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\(N\)-th KdV hierarchy

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wave function

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tau function

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MaRDI profile type

MaRDI publication profile

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On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations

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Poisson vertex algebras in the theory of Hamiltonian equations

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\( \underline{p} \)-reduced multicomponent KP hierarchy and classical \(\mathcal{W} \)-algebras \(\mathcal{W}(\mathfrak{gl}_N,\underline{p})\)

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Tau function of the CKP hierarchy and nonlinearizable virasoro symmetries

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Constraints of the Kadomtsev–Petviashvili hierarchy

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KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–

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Adler–Gelfand–Dickey Approach to Classical 𝒲-Algebras Within the Theory of Poisson Vertex Algebras

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A new scheme of integrability for (bi)Hamiltonian PDE

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Classical affine \(\mathcal{W}\)-algebras for \(\mathfrak{gl}_N\) and associated integrable Hamiltonian hierarchies

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Classical affine \(\mathcal W\)-algebras and the associated integrable Hamiltonian hierarchies for classical Lie algebras

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BKP and CKP revisited: the odd KP system

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Lie algebras and equations of Korteweg-de Vries type

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Solitons and infinite dimensional Lie algebras

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On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class <i>ψ<sub>xxx</sub> </i> + 6<i>Qψ<sub>x</sub> </i> + 6<i>R<sub>ψ</sub> </i> = λ<i>ψ</i>

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New reductions of the Kadomtsev–Petviashvili and two-dimensional Toda lattice hierarchies via symmetry constraints

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Kadomtsev-Petviashvili turning points and CKP hierarchy

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Integrals of nonlinear equations of evolution and solitary waves

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The resonant interaction among long and short waves

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A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation

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Characterization of Jacobian varieties in terms of soliton equations

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Multicomponent integrable reductions in the Kadomtsev–Petviashvilli hierarchy

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Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method

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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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Identifiers

zbMATH Open document ID

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10.1007/s11537-021-2134-1

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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:6158637

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