Results 31 to 40 of about 582,779 (212)
Solitons and the generalized Cole-Hopf substitutions
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 This paper examines the relationship between the method of the inverse problem and the method of generalized Cole-Hopf substitutions. The relationship between these methods is established by comparing the method of Darboux transformations and the method ...
V. M. Zhuravlev, A. N. Byzykchi
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AxiomsThis study aims to propose a class of binary Darboux transformations for an integrable nonlinear Schrödinger system with two symmetric matrix potentials.
Wen-Xiu Ma
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Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory [PDF]
, 2023 Darboux developed an ingenious algebraic mechanism to construct infinite chains of ''integrable'' second-order differential equations as well as their solutions.
Weil, Jacques-Arthur +3 more
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Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2019 The Lotka-Volterra cubicdifferential systems with (1:-2)-singularity possessing invariant straight lines of two direction and total multiplicity six are classified.
Silvia TURUTA
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DARBOUX TRANSFORMS AND ORTHOGONAL POLYNOMIALS [PDF]
Bulletin of the Korean Mathematical Society, 2002 In [\textit{F. A. Grünbaum} and \textit{L. Haine}, Symmetries and Integrability of Differential Equations, Estérel, 1994, CRM Proc. Lect. Notes 9, 143-154 (1996; Zbl 0865.33008)] the Darboux transform was used to obtain so-called Bochner-Krall orthogonal polynomials which satisfy a higher order (\(>2\)) spectral type differential equation. This Darboux
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On Geometric Phase Model in the Theory of Curves With Myller Configuration
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir +2 more
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Backlund-Darboux Transformations in Sato's Grassmannian [PDF]
, 1996 We define Bäcklund–Darboux transformations in Sato’s Grassmannian. They can be regarded as Darboux transformations on maximal algebras of commuting ordinary differential operators.
Horozov, E., Yakimov, M., Bakalov, B.
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Land Degradation &Development, Volume 37, Issue 15, Page 10911-10926, September 2026.ABSTRACT The microtopographic characteristics of terrain are modified by soil management and conservation practices, affecting water infiltration, storage, runoff generation, and sediment transport. However, assessing soil microtopography at representative spatial scales remains challenging and time‐consuming.
Jhonatan Spliethoff +5 more
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Darboux transformations for super-symmetric KP hierarchies [PDF]
, 2000 ©2000 Elsevier Science B.V. All rights reserved. Q.P.L. should like to thank the Abdus Salam International Centre for the Theoretical Physics for hospitality and support. Q.P.L. is partially supported by the National Natural Science Foundation of China (
Mañas Baena, Manuel Enrique +3 more
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Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester +2 more
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