Meromorphic solutions of nonlinear partial differential equations and many-particle completely integrable systems

DOI10.1063/1.524048zbMath0455.35096OpenAlexW2062988665MaRDI QIDQ3903417

D. V. Chudnovsky

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524048

zbMATH Keywords

Hamiltonian systemmeromorphic solutionsdynamics of systems of particlesevolution of singularities of solutionsmany-particle completely integrable systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Scattering theory for PDEs (35P25) Partial differential equations of mathematical physics and other areas of application (35Q99) (n)-body problems (70F10)

Related Items (19)

ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY ⋮ Elliptic solutions of nonlinear integrable equations and related topics ⋮ Picard potential and Hill's equation on a torus ⋮ Elliptic solitons and Gröbner bases ⋮ Explicit solutions for point particles and black holes in spaces of constant curvature in \(2+1-D\) gravity ⋮ On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane ⋮ Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles ⋮ An explicit characterization of Calogero–Moser systems ⋮ Rational \(KP\) and \(mKP\)-solutions in Wronskian form ⋮ Elliptic solitons with free constants and their isospectral deformations ⋮ Calogero–Moser systems with periodic and doubly periodic interaction potentials and loop algebras ⋮ A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy ⋮ Solutions of the Boussinesq equation ⋮ Sequences of numbers generated by addition in formal groups and new primality and factorization tests ⋮ Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach ⋮ Similarity, Bäcklund transformations and rational solutions ⋮ Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation ⋮ A New Approach to the Boussinesq Hierarchy ⋮ The Fredholm determinant method for the KdV equations

Cites Work

• Three integrable Hamiltonian systems connected with isospectral deformations

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