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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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Stokes Phenomenon Arising in the Confluence of the Gauss Hypergeometric Equation,gent asymptotics. We explicitly calculate the Stokes matrices of the confluent system in terms of the monodromy data, specifically the connection matrices, of the original system around the merging singularities.
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,Analogues of Kahan’s Method for Higher Order Equations of Higher Degree,a discrete integrable system. In this note, we introduce a special class of explicit order-preserving discretization schemes that are appropriate for certain systems of ordinary differential equations of higher order and higher degree.
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2194-1009 and graduate students interested in learning about current results, new approaches and trends in mathematical physics, in particular those relevant to discrete integrable systems..978-3-030-57002-6978-3-030-57000-2Series ISSN 2194-1009 Series E-ISSN 2194-1017
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Asymptotic, Algebraic and Geometric Aspects of Integrable SystemsIn Honor of Nalini J
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Complexity and Integrability in 4D Bi-rational Maps with Two Invariants,ontradict the common belief that maps with sufficiently many invariants can have at most quadratic growth. Cubic growth may reflect the existence of non-elliptic fibrations of invariants, whereas we conjecture that the exponentially growing cases lack the necessary conditions for the applicability o
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Nonsingular Rational Solutions to Integrable Models,gular 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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Stokes Phenomenon Arising in the Confluence of the Gauss Hypergeometric Equation,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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