Point vortices and polynomials of the Sawada-Kotera and Kaup-Kupershmidt equations

DOI10.1134/S1560354711060025zbMath1264.35186arXiv1112.4804MaRDI QIDQ691189

Maria V. Demina, Nikolay A. Kudryashov

Publication date: 30 November 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4804

zbMATH Keywords

Kaup-Kupershmidt equationSawada-Kotera equationpoint vorticesspecial polynomialsFordy-Gibbons equationgeneralized \(K_2\) hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Soliton equations (35Q51) Painlevé-type functions (33E17)

Related Items (11)

Point vortex equilibria related to Bessel polynomials ⋮ Multi-particle dynamical systems and polynomials ⋮ Relative equilibrium configurations of point vortices on a sphere ⋮ Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies ⋮ Negative Pell equation and stationary configurations of point vortices on the plane ⋮ Polynomial sequences related to point vortex equilibria with three strengths ⋮ Reductions of PDEs to second order ODEs and symbolic computation ⋮ Stationary configurations of point vortices on a cylinder ⋮ Point vortices and classical orthogonal polynomials ⋮ Generalized Adler-Moser and Loutsenko polynomials for point vortex equilibria ⋮ Special solutions of a high-order equation for waves in a liquid with gas bubbles

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