MathematicsDarboux transformations are relations between the eigenfunctions and coefficients of a pair of linear differential operators, while Painlevé equations are nonlinear ordinary differential equations whose solutions arise in diverse areas of applied ...
Joe W. E. Harrow, Andrew N. W. Hone
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Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem
Symmetry, Integrability and Geometry: Methods and Applications, 2007 A GBDT version of the Bäcklund-Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models. The corresponding Riemann-Hilbert problem is treated and some explicit formulas
Alexander Sakhnovich
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Multiple mixed solutions of the nonlocal sine-Gordon equation
European Physical Journal C: Particles and FieldsIn this paper, we propose the nonlocal sine-Gordon equation from the AKNS system by the Parity and the Time symmetries. Moreover, the main work is to construct the Darboux transformation for the nonlocal sine-Gordon equation. In particular, various types
Jian Li +3 more
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Double Wronskian Representation of the Nth-Order Solutions to the Davey–Stewartson Equations
AxiomsSolutions to the Davey–Stewartson equations (DS) in terms of the determinants of order 2N depending on 4N real parameters are constructed. The Darboux transformation is used to construct solutions of order N to this equation.
Pierre Gaillard
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Smooth and Discrete Cone-Nets. [PDF]
Results Math, 2023 Kilian M, Müller C, Tervooren J.
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PPTFH: Robust Local Descriptor Based on Point-Pair Transformation Features for 3D Surface Matching. [PDF]
Sensors (Basel), 2021 Wu L +6 more
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Nonlocal complex short pulse equation in [Formula: see text]-symmetry like symmetry breaking, breather-grammian interactions and soliton solutions. [PDF]
Sci RepAmjad Z +4 more
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Revealing homoclinic breather waves, periodic lump waves and other waves forms of an integrable reduced spin Hirota-Maxwell-Bloch system. [PDF]
Sci RepCeesay B +4 more
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Discrete cyclic systems and circle congruences. [PDF]
Ann Mat Pura Appl, 2022 Hertrich-Jeromin U, Szewieczek G.
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Optical soliton perturbation with complex ginzburg-landau equation having multiplicative white noise and nine forms of self-phase modulation structures. [PDF]
MethodsXZayed EME +8 more
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