On Vortex Solutions and Links between the Weierstrass System and the Complex Sine-Gordon Equations

DOI10.2991/jnmp.2003.10.4.4zbMath1040.35090OpenAlexW2101111830MaRDI QIDQ4459149

Piotr Goldstein, Paul Bracken, A. Michel Grundland

Publication date: 25 March 2004

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2003.10.4.4

zbMATH Keywords

Bäcklund transformationPainlevé testcomplex sine and sinh-Gordon equationsmassless fermion modelmotion of a vortex filament

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (2)

On the construction of integrable surfaces on Lie groups ⋮ A constructive proof for the Umemura polynomials of the third Painlevé equation

Cites Work

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• The Painlevé property for partial differential equations
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• Two-dimensional reductions of the self-dual Yang–Mills equations in self-dual spaces
• A new truncation in Painleve analysis
• The localized induction hierarchy and the Lund - Regge equation
• The singular manifold method revisited

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