Results 31 to 40 of about 452 (186)
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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D-Modules and Darboux Transformations
Letters in Mathematical Physics, 1998 A method of G. Wilson for generating commutative algebras of ordinary differential operators is extended to higher dimensions. Our construction, based on the theory of D-modules, leads to a new class of examples of commutative rings of partial differential operators with rational spectral varieties.
Berest, Yu., Kasman, A.
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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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An Algebraic Study of Parametric Stokes Phenomena
Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
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AxiomsWith a specific Darboux transformation, we construct solutions to the sine-Gordon equation. We use both the simple Darboux transformation as well as the multiple Darboux transformation, which enables the obtainment of compact solutions of this equation ...
Pierre Gaillard
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Affine hypersurfaces and superintegrable systems
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract It was recently shown that under mild assumptions, second‐order conformally superintegrable systems can be encoded in a (0,3)‐tensor, called structure tensor. For abundant systems, this approach led to algebraic integrability conditions that essentially allow one to restore a system from the knowledge of its structure tensor in a point on the ...
Vicente Cortés, Andreas Vollmer
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Discrete Dynamics in Nature and Society, 2012 We find an interesting phenomenon that the discrete system appearing in a reference can be reduced to the old integrable system given by Merola, Ragnisco, and Tu in another reference.
Xianbin Wu, Weiguo Rui, Xiaochun Hong
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Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation
Advances in Mathematical Physics, 2021 A semidiscrete integrable coupled system is obtained by embedding a free function into the discrete zero-curvature equation. Then, explicit solutions of the first two nontrivial equations in this system are derived directly by the Darboux transformation ...
Qiulan Zhao, Qianqian Yang, Xiangwen Qu
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3D definition of the river bankfull stage from topographic LiDAR
Earth Surface Processes and Landforms, Volume 51, Issue 6, June 2026.A 3D definition of river bankfull stage based on hydraulic depth derived from high‐density topographic LiDAR is proposed and implemented through the Bf3D framework, applied at the reach scale across 28 French rivers. Extending analysis beyond individual cross‐sections opens new opportunities for large‐scale, automated hydromorphological monitoring ...
Alexandre Retat +6 more
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Journal of Function Spaces, 2017 The rogue wave solutions are discussed for an inhomogeneous fifth-order nonlinear Schrödinger equation, which describes the dynamics of a site-dependent Heisenberg ferromagnetic spin chain. Using the Darboux matrix, the generalized Darboux transformation
N. Song, W. Zhang, P. Wang, Y. K. Xue
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