Results 1 to 10 of about 412 (154)
The Wronskian and its derivatives [PDF]
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2011 This note reports on some joint work with I. Scherbak, aiming to overview a connection between generalized wronskians (of fundamental systems of solutions of linear ordinary differential equations with constant coefficients) and the intersection theory ...
Letterio Gatto
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On the Growth of Wronskians Using their Relative Orders, Relative Types and Relative Weak Types
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 In this paper the comparative growth properties of composition of entire and meromorphic functions on the basis of their relative orders (relative lower orders), relative types and relative weak types of Wronskians generated by entire and meromorphic ...
Tanmay Biswas
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Jets of line bundles on curves and Wronskians [PDF]
Journal of Pure and Applied Algebra, 2011 Let \(C\) be a smooth projective curve of genus \(g\). For a given line bundle \(L\in \text{Pic}^d(C)\) and \(h\geq 0\), \(J^hL\) denotes the bundle, of rank \(h+1\), of jets (or principal parts) of \(L\) of order \(h\). If \(0\leq i\leq h+1\), there is a natural epimorphism \(J^hL\rightarrow J^{h-i}L\), whose kernel is denoted by \(N_{h,i}(L)\).
Letterio Gatto, Antonio Nigro
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Wronskians, dualities and FZZT-Cardy branes [PDF]
Nuclear Physics B, 2016 The resolvent operator plays a central role in matrix models. For instance, with utilizing the loop equation, all of the perturbative amplitudes including correlators, the free-energy and those of instanton corrections can be obtained from the spectral ...
Chuan-Tsung Chan +3 more
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Wronskians, generalized Wronskians and solutions to the Korteweg–de Vries equation [PDF]
Chaos, Solitons and Fractals, 2004 A bridge going from Wronskian solutions to generalized Wronskian solutions of the Korteweg-de Vries equation is built. It is then shown that generalized Wronskian solutions can be viewed as Wronskian solutions. The idea is used to generate positons, negatons and their interaction solutions to the Korteweg-de Vries equation.
Wen-Xiu Ma
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Quantization of rationally deformed Morse potentials by Wronskian transforms of Romanovski-Bessel polynomials [PDF]
Acta Polytechnica, 2022 The paper advances Odake and Sasaki’s idea to re-write eigenfunctions of rationally deformed Morse potentials in terms of Wronskians of Laguerre polynomials in the reciprocal argument. It is shown that the constructed quasi-rational seed solutions of the
Gregory Natanson
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Wronskians and Linear Independence [PDF]
The American Mathematical Monthly, 2010 We give a new and simple proof of the fact that a finite family of analytic functions has a zero Wronskian only if it is linearly dependent.
Bostan, Alin, Dumas, Philippe
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The solutions of classical and nonlocal nonlinear Schr\"{o}dinger equations with nonzero backgrounds: Bilinearisation and reduction approach [PDF]
Open Communications in Nonlinear Mathematical Physics, 2023 In this paper we develop a bilinearisation-reduction approach to derive solutions to the classical and nonlocal nonlinear Schr\"{o}dinger (NLS) equations with nonzero backgrounds.
Da-jun Zhang, Shi-min Liu, Xiao Deng
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Multi-Parametric Families of Real and Non Singular Solutions of the Kadomtsev-Petviasvili I Equation
Universal Journal of Mathematics and Applications, 2021 Multi-parametric solutions to the Kadomtsev-Petviashvili equation (KPI) in terms of Fredholm determinants are constructed in function of exponentials. A representation of these solutions as a quotient of wronskians of order $2N$ in terms of trigonometric
Pierre Gaillard
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With Wronskian through the Looking Glass [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2021 In the work of Mukhin and Varchenko from 2002 there was introduced a Wronskian map from the variety of full flags in a finite dimensional vector space into a product of projective spaces. We establish a precise relationship between this map and the Plücker map.
Gorbounov, Vassily, Schechtman, Vadim
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