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Integrable theory of the perturbation equations. - MaRDI portal

Integrable theory of the perturbation equations. (Q815580)

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Language	Label	Description	Also known as
English	Integrable theory of the perturbation equations.	scientific article

Statements

scholarly article

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Integrable theory of the perturbation equations. (English)

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Chaos, Solitons and Fractals

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publication date

17 February 2006

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full work available at URL

https://arxiv.org/abs/solv-int/9604004

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Benno Fuchssteiner

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MaRDI profile type

MaRDI publication profile

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Soliton Evolution in the Presence of Perturbation

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A Green’s function for a linear equation associated with solitons

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Perturbations of Solitons and Solitary Waves

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Hamiltonian perturbation theory and water waves

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A direct approach to studying soliton perturbations

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Perturbations on the K-dV Solitons –An Approach Based on the Multiple Time Scale Expansion–

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Slowly Varying Solitary Wave Solutions of the Perturbed Korteweg‐de Vries Equation Revisited

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Perturbation method for a generalized Burgers' equation

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Complete integrability of the Kortweg-de Vries equation under perturbation around its solution: Lie-Backlund symmetry approach

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The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.

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The Korteweg–de Vries hierarchy and long water-waves

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Boussinesq solitary-wave as a multiple-time solution of the Korteweg–de Vries hierarchy

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Symplectic structures, their Bäcklund transformations and hereditary symmetries

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Dirac constraints in field theory: Lifts of Hamiltonian systems to the cotangent bundle

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Application of hereditary symmetries to nonlinear evolution equations

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Hamiltonian operators and algebraic structures related to them

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A simple model of the integrable Hamiltonian equation

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On the integrability of multidimensional nonlinear evolution equations

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The Modified Korteweg-de Vries Equation

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K symmetries and tau symmetries of evolution equations and their Lie algebras

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The algebraic structures of isospectral Lax operators and applications to integrable equations

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On the theory of recursion operator

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Hamiltonian theory over noncommutative rings and integrability in multidimensions

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Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra

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Generators of vector fields and time dependent symmetries of evolution equations

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Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations

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Identifiers

zbMATH Open document ID

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10.1016/0960-0779(95)00104-2

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Mathematics Subject Classification ID

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zbMATH DE Number

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solv-int/9604004

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Sitelinks

Mathematics(1 entry)

mardi Publication:815580

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