Solutions of the Boussinesq equation

DOI10.1016/0167-2789(86)90088-6zbMath0613.35068OpenAlexW2055787806MaRDI QIDQ1819296

Hélène Airault

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90088-6

zbMATH Keywords

Boussinesq equationrational solutionsBäcklund transformations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Related Items (5)

ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY ⋮ Traveling solitary wave solutions to the generalized Boussinesq equation ⋮ Multi-lump wave patterns of KPI via integer partitions ⋮ RATIONAL SOLUTIONS OF THE BOUSSINESQ EQUATION ⋮ A New Approach to the Boussinesq Hierarchy

Cites Work

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• Infinite dimensional Lie algebras. An introduction
• Loop groups and equations of KdV type
• On a class of polynomials connected with the Korteweg-de Vries equation
• Solitons and rational solutions of nonlinear evolution equations
• The Painlevé property and Bäcklund transformations for the sequence of Boussinesq equations
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• Meromorphic solutions of nonlinear partial differential equations and many-particle completely integrable systems
• Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
• Boussinesq's equation on the circle

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