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New integrable equations of fourth order and higher degree related to Cosgrove’s equation
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4.C. M. Cosgrove, “Higher order Painlevé equations in the polynomial class I. Bureau symbol P2,” Stud. Appl. Math. 104, 1–65 (2000).
5.This ODE was first presented by Cosgrove at the Conference on Soliton Theory, PDEs, and Nonlinear Analysis, held at the University of New South Wales, Australia, 6–9 January 1997. An underlying linear problem was first presented by the current authors at the meeting Integrable Systems: Solutions and Transformations, held at Guardamar, Spain, 15–20 June 1998.
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