Introduction (Q5901481)

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scientific article; zbMATH DE number 5528453

Language	Label	Description	Also known as
English	Introduction	scientific article; zbMATH DE number 5528453

Statements

scholarly article

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Introduction (English)

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Alexander V. Mikhailov

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publication date

12 March 2009

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zbMATH Keywords

historical background

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integrability of partial differential equations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-540-88111-7_1

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On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation

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The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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Nonlinear differential−difference equations

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Birkhoff normal form for some nonlinear PDEs

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On integrability of systems of evolution equations

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Classification of the line-soliton solutions of KPII

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Hamiltonian theory over noncommutative rings and integrability in multidimensions

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On Hamiltonian perturbations of hyperbolic systems of conservation laws. II: Universality of critical behaviour

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On universality of critical behavior in the focusing nonlinear Schrödinger equation, elliptic umbilic catastrophe and the Tritronquée solution to the Painlevé-I equation

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On asymptotically equivalent shallow water wave equations

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On the Toda Lattice. II: Inverse-Scattering Solution

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A symmetry approach to exactly solvable evolution equations

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Symmetries and Integrability

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Asymptotic Integrability of Water Waves

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Recursion operators and bi-Hamiltonian structures in multidimensions. II

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Method for Solving the Korteweg-deVries Equation

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Korteweg‐devries equation and generalizations. VI. methods for exact solution

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ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS

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Hamiltonian operators and algebraic structures related to them

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On construction of recursion operators from Lax representation

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Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

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On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices

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A Higher-Order Water-Wave Equation and the Method for Solving It

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Lax operator algebras

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Integrals of nonlinear equations of evolution and solitary waves

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

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A simple model of the integrable Hamiltonian equation

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Nijenhuis G-manifolds and Lenard bicomplexes: A new approach to KP systems

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The reduction problem and the inverse scattering method

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Perturbative symmetry approach

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On Classification of Integrable Nonevolutionary Equations

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Extension of the module of invertible transformations. Classification of integrable systems

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Integrable ODEs on associative algebras

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Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation

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The periodic problem for the Korteweg-de Vries equation

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Evolution equations possessing infinitely many symmetries

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Andrew Lenard: a mystery unraveled

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On the integrability of homogeneous scalar evolution equations

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Prolongation structures of nonlinear evolution equations

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The Painlevé property for partial differential equations

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Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

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Complete biorthogonal systems in Banach spaces

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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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10.1007/978-3-540-88111-7_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:5901481

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