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A List of 1 + 1 Dimensional Integrable Equations and Their Properties (Q5346844)

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scientific article; zbMATH DE number 6723847

Language	Label	Description	Also known as
English	A List of 1 + 1 Dimensional Integrable Equations and Their Properties	scientific article; zbMATH DE number 6723847

Statements

scholarly article

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A List of 1 + 1 Dimensional Integrable Equations and Their Properties (English)

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Journal of Nonlinear Mathematical Physics

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publication date

30 May 2017

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.2991/jnmp.2002.9.s1.18

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Coupled KdV equations with multi-Hamiltonian structures

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On the equivalence of linearization and formal symmetries as integrability tests for evolution equations

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The Nonlinear Evolution Equations Related to the Wadati-Konno-Ichikawa Spectral Problem

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The evolution partial differential equation <i>u</i> <i>t</i>=<i>u</i> <i>x</i> <i>x</i> <i>x</i>+3(<i>u</i> <i>x</i> <i>x</i> <i>u</i>2 +3<i>u</i>2<i>x</i> <i>u</i>)+3<i>u</i> <i>x</i> <i>u</i>4

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Reduction technique for matrix nonlinear evolution equations solvable by the spectral transform

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A new hierarchy of Korteweg–de Vries equations

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Symmetries and a hierarchy of the general modified KdV equation

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On the direct construction of the inverse scattering operators of integrable nonlinear Hamiltonian systems

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Conservation laws for nonlinear evolution equations

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Symplectic structures, their Bäcklund transformations and hereditary symmetries

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Integrable nonlinear Klein-Gordon equations and Toda lattices

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Factorization of operators.II

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The bi-Hamiltonian structure of some nonlinear fifth- and seventh-order differential equations and recursion formulas for their symmetries and conserved covariants

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A symmetry approach to exactly solvable evolution equations

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Computer-algebra methods for investigation of hereditary operators of higher order soliton equations

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Application of hereditary symmetries to nonlinear evolution equations

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The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems

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Classification of evolution equations by conservation laws

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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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Integrals of nonlinear equations of evolution and solitary waves

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A hierarchy of coupled Burgers systems possessing a hereditary structure

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A simple model of the integrable Hamiltonian equation

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Evolution equations possessing infinitely many symmetries

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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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Integrable systems and their recursion operators.

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On recursion operators

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Nonlocal symmetries and recursion operator of the Landau–Lifshitz equation

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New Integrable Nonlinear Evolution Equations

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Symmetries and integrability of the cylindrical Korteweg–de Vries equation

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Identifiers

zbMATH Open document ID

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10.2991/jnmp.2002.9.s1.18

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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:5346844

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