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RATIONAL SOLUTIONS OF THE BOUSSINESQ EQUATION (Q5503489)

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scientific article; zbMATH DE number 5492592

Language	Label	Description	Also known as
English	RATIONAL SOLUTIONS OF THE BOUSSINESQ EQUATION	scientific article; zbMATH DE number 5492592

Statements

scholarly article

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RATIONAL SOLUTIONS OF THE BOUSSINESQ EQUATION (English)

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zbMATH Open document ID

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10.1142/S0219530508001250

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Peter A. Clarkson

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Analysis and Applications

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publication date

15 January 2009

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Boussinesq equation

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Painlevé equation

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rational solutions

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MaRDI profile type

MaRDI publication profile

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Solitons and rational solutions of nonlinear evolution equations

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On a class of polynomials connected with the Korteweg-de Vries equation

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Rational Solutions of Painlevé Equations

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Solutions of the Boussinesq equation

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Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem

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Vortices and polynomials

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Point vortex dynamics: A classical mathematics playground

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Bäcklund Transformations and Solution Hierarchies for the Fourth Painlevé Equation

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Characteristic polynomials of random matrices.

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The inverse problem for a general \(n \times n\) spectral equation

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Painlevé IV and degenerate Gaussian unitary ensembles

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The fourth Painlevé equation and associated special polynomials

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Remarks on the Yablonskii-Vorob'ev polynomials

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Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations

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Special polynomials associated with rational solutions of the defocusing nonlinear Schrödinger equation and the fourth Painlevé equation

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New similarity reductions of the Boussinesq equation

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The second Painlev equation, its hierarchy and associated special polynomials

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Inverse scattering and the boussinesq equation

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The structure of the rational solutions to the Boussinesq equation

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Monodromy- and spectrum-preserving deformations. I

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On a unified approach to transformations and elementary solutions of Painlevé equations

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Application of the \(\tau\)-function theory of Painlevé equations to random matrices: PIV, PII and the GUE.

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Special polynomials and the Hirota Bilinear relations of the second and the fourth Painlevé equations

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Crum transformation and rational solutions of the non-focusing nonlinear Schrödinger equation

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A generalization of determinant formulae for the solutions of Painlevé II and XXXIV equations

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Determinant structure of the rational solutions for the Painlevé IV equation

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Non-Schlesinger deformations of ordinary differential equations with rational coefficients

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Non-classical symmetry reduction: example of the Boussinesq equation

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Equilibrium of charges and differential equations solved by polynomials

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Exact multi-soliton solution of the Benjamin-Ono equation

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Rational solutions of the Painlevé VI equation

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Bäcklund Transformations and Solution Hierarchies for the Third Painlevé Equation

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Classical solutions of the third Painlevé equation

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Affine Weyl groups, discrete dynamical systems and Painlevé equations

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Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)

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Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)

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Complex sine-Gordon-2: A new algorithm for multivortex solutions on the plane

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The construction of special solutions to partial differential equations

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Group-Invariant Solutions of Differential Equations

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Rational solutions of the KP hierarchy and the dynamics of their poles. II. Construction of the degenerate polynomial solutions

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On the integrable variant of the Boussinesq system: Painlevé property, rational solutions, a related many-body system, and equivalence with the AKNS hierarchy

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Two-dimensional lumps in nonlinear dispersive systems

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Remarks on the Yablonskii-Vorob’ev polynomials

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A system of particles equivalent to solitons

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Solutions of the second and fourth Painlevé equations, I

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full work available at URL

https://doi.org/10.1142/s0219530508001250

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Sitelinks

Mathematics(1 entry)

mardi Publication:5503489

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