J
John Weiss
Researcher at La Jolla Institute for Allergy and Immunology
Publications - 12
Citations - 3686
John Weiss is an academic researcher from La Jolla Institute for Allergy and Immunology. The author has contributed to research in topics: Partial differential equation & Lax pair. The author has an hindex of 11, co-authored 12 publications receiving 3495 citations.
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The Painlevé property for partial differential equations
TL;DR: In this paper, the authors define the Painleve property for partial differential equations and show how it determines, in a remarkably simple manner, the integrability, the Backlund transforms, the linearizing transforms, and the Lax pairs of three well-known partial differential equation (Burgers' equation, KdV equation, and modified KDV equation).
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The painleve property for partial differential equations. ii. backlund transformation, lax pairs, and the schwarzian derivative
TL;DR: In this article, the authors investigated the Painleve property for partial differential equations and showed that it is invariant under the Moebius group (acting on dependent variables) and obtained the appropriate Lax pair for the underlying nonlinear pde.
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On classes of integrable systems and the Painlevé property
TL;DR: In this paper, the Caudrey-Dodd-Gibbon equation was found to possess the Painleve property and the Backlund transformation was employed to define a class of p.d.s that identically possesses the painleve properties.
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Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
TL;DR: In this article, the authors investigated the Henon-Heiles Hamiltonian in the complex time plane and showed that the property that the only movable singularities exhibited by the solution are poles enables successful prediction of the values of the nonlinear coupling parameter for which the system is integrable.
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The sine‐Gordon equations: Complete and partial integrability
TL;DR: In this article, it is shown how the method of singular manifold analysis obtains the Backlund transform and the Lax pair for the sine-Gordon equation in one space-one time dimension.