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Dressing Method for the Degasperis-Procesi Equation (Q2973314)

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Language	Label	Description	Also known as
English	Dressing Method for the Degasperis-Procesi Equation	scientific article

Statements

scholarly article

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Dressing Method for the Degasperis-Procesi Equation (English)

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Adrian Constantin

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Rossen I. Ivanov

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Studies in Applied Mathematics

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publication date

3 April 2017

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full work available at URL

https://arxiv.org/abs/1608.02120

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zbMATH Keywords

solitons

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explicit representation

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IST

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comparison with Hirota method

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MaRDI profile type

MaRDI publication profile

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The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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On the soliton solutions of a family of Tzitzeica equations

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A Riemann–Hilbert approach for the Degasperis–Procesi equation

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Riemann-Hilbert approach for the Camassa-Holm equation on the line

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An integrable shallow water equation with peaked solitons

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Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models

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Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow

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Algebraic construction of the Darboux matrix revisited

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The trajectories of particles in Stokes waves

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Wave breaking for nonlinear nonlocal shallow water equations

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Particle trajectories in solitary water waves

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Inverse scattering transform for the Camassa–Holm equation

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Inverse scattering transform for the Degasperis–Procesi equation

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The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

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A shallow water equation on the circle

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Stability of peakons

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Global weak solutions and blow-up structure for the Degasperis-Procesi equation

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Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman

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On a class of physically important integrable equations

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Symplectic structures, their Bäcklund transformations and hereditary symmetries

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An extension of integrable peakon equations with cubic nonlinearity

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Generalised Fourier transforms for the soliton equations. Gauge-covariant formulation

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Reductions of<i>N</i>-wave interactions related to low-rank simple Lie algebras: I. ℤ<sub>2</sub>-reductions

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Multicomponent NLS-type equations on symmetric spaces and their reductions

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Integrable Hamiltonian hierarchies. Spectral and geometric methods

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The soliton correlation matrix and the reduction problem for integrable systems

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Persistence properties for a family of nonlinear partial differential equations

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One-dimensional weakly nonlinear model equations for Rossby waves

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Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs

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Prolongation algebras and Hamiltonian operators for peakon equations

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On the Integrability of a Class of Nonlinear Dispersive Wave Equations

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Water waves and integrability

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On the dressing method for the generalised Zakharov-Shabat system

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Camassa–Holm, Korteweg–de Vries and related models for water waves

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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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Traveling wave solutions of the Degasperis-Procesi equation

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The Degasperis-Procesi equation on the half-line

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Stability of peakons for the Degasperis-Procesi equation

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Global existence and blow-up phenomena for the Degasperis-Procesi equation

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Multi-peakon solutions of the Degasperis–Procesi equation

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The <i>N</i> -soliton solution of the Degasperis–Procesi equation

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Multisoliton solutions of the Degasperis–Procesi equation and their peakon limit

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The reduction problem and the inverse scattering method

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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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Multi-loop soliton solutions and their interaction in the Degasperis–Procesi equation

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On generalized Fourier transform for Kaup-Kupershmidt type equations

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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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Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II

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Identifiers

zbMATH Open document ID

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10.1111/sapm.12149

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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:2973314

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