Titlebook: Asymptotic, Algebraic and Geometric Aspects of Integrable Systems; In Honor of Nalini J Frank Nijhoff,Yang Shi,Da-jun Zhang Conference proc

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Springer Proceedings in Mathematics & Statisticshttp://image.papertrans.cn/b/image/163845.jpg

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https://doi.org/10.1007/978-3-7091-4328-5gular rational solutions have appeared with different names in a variety of nonlinear systems, say, algebraic solitons, algebraic solitrary waves and lump solutions etc. More importantly, these nonsingular rational solutions have played a key role in the study of rogue waves. In the paper, we will d

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Basic Concepts of Functional Analysis,of the Gauss hypergeometric equation to produce the Kummer hypergeometric equation with an irregular singularity at infinity. We show how to pass from solutions with power-like behaviour which are analytic in disks, to solutions with exponential behaviour which are analytic in sectors and have diver

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Foundations of the Theory of Parthooddratic vector fields). Kahan’s method has attracted much interest due to the fact that it preserves many of the geometrical properties of the original continuous system. In particular, a large number of Hamiltonian systems of quadratic vector fields are known for which their Kahan discretization is

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