Results 51 to 60 of about 582,779 (212)

A grassmannian version of the darboux transformation

Bulletin des Sciences Mathématiques, 1999
In soliton theory, a Darboux transformation (DT) refers to the following process: First factorize a given second order operator \(L=(d/dx)^2-q\) as a product of two first order operators. Then, swap the order of these operators to obtain a new operator \(\widetilde{L}=(d/dx)^2-\widetilde{q}\).
openaire   +1 more source

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, Nathalie Thommeret, Frédéric Gob, Jean‐Stéphane Bailly, Laurent Lespez, Thomas Depret, Karl Kreutzenberger   +6 more
wiley   +1 more source

Spectral problem for the complex mKdV equation: singular manifold method and Lie symmetries [PDF]

Open Communications in Nonlinear Mathematical Physics
This article addresses the study of the complex version of the modified Korteweg-de Vries equation using two different approaches. Firstly, the singular manifold method is applied in order to obtain the associated spectral problem, binary Darboux ...
Paz Albares, Pilar G. Estévez, Alejandro González-Parra, Paula del Olmo   +3 more
doaj   +1 more source

Spectral Transformations and Associated Linear Functionals of the First Kind

Axioms, 2021
Given a quasi-definite linear functional u in the linear space of polynomials with complex coefficients, let us consider the corresponding sequence of monic orthogonal polynomials (SMOP in short) (Pn)n≥0.
Juan Carlos García-Ardila, Francisco Marcellán   +1 more
doaj   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Darboux transformations for the strict KP hierarchy

, 2021
We introduce the notion of Darboux transformations for the strict KP hierarchy. We previously showed that solutions of this integrable hierarchy can be constructed from a flag variety F(1).
Panasenko, E.A., Helminck, G.F.
core   +1 more source

Probabilistic correlation functions of the Schwarzian field theory

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract We study correlation functions of the probabilistic Schwarzian field theory. We compute cross‐ratio correlation functions exactly in the case when the corresponding Wilson lines do not intersect, confirming predictions made in the physics literature via limit of the conformal bootstrap and the DOZZ formula.
Ilya Losev
wiley   +1 more source

Darboux transformations for differential operators on the superline

, 2015
We give a full description of Darboux transformations of any order for arbitrary (nondegenerate) differential operators on the superline. We show that every Darboux transformation of such operators factorizes into elementary Darboux transformations of ...
Shemyakova, Ekaterina, Hill, S., Voronov, Th. Th., Voronov, Theodore; id_orcid, Shemyakova, E. S., Hill, Sean   +5 more
core   +2 more sources

Darboux transformation of symmetric Jacobi matrices and Toda lattices

Frontiers in Applied Mathematics and Statistics
Let J be a symmetric Jacobi matrix associated with some Toda lattice. We find conditions for Jacobi matrix J to admit factorization J = LU (or J = 𝔘𝔏) with L (or 𝔏) and U (or 𝔘) being lower and upper triangular two-diagonal matrices, respectively.
Ivan Kovalyov, Oleksandra Levina
doaj   +1 more source

Geometry of Supergravity and the Batalin–Vilkovisky Formulation of the N=1$\mathcal N=1$ Theory in Ten Dimensions

Fortschritte der Physik, Volume 74, Issue 5, May 2026.
ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka, Charles Strickland‐Constable, Fridrich Valach   +2 more
wiley   +1 more source