Results 61 to 70 of about 452 (186)
The Delsarte-Darboux type binary transformations, their differential-geometric and operator structure with applications. Part 1 [PDF]
Opuscula Mathematica, 2006 The structure properties of multidimensional Delsarte-Darboux transmutation operators in parametric functional spaces are studied by means of differential-geometric and topological tools.
Yarema A. Prykarpatsky +1 more
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Darboux transformation for two‐level system
Annalen der Physik, 2005 Abstract We develop the Darboux procedure for the case of the two‐level system. In particular, it is demonstrated that one can construct the Darboux intertwining operator that does not violate the specific structure of the equations of the two‐level system, transforming only one real potential into another real potential. We apply the
Bagrov, V. +3 more
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Numerical Simulations of Coupled Solitary Waves With Spatially Modulated Non‐Linearity
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This study investigates the dynamics of two coupled solitary waves propagating in media characterised by spatially modulated non‐linearity and variable dispersion. By employing numerical simulations of a system of coupled non‐linear Schrödinger equations (NLSEs) with varying coefficients, we analyse how inhomogeneous physical properties influence ...
Ngaka John Nchejane +2 more
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Darboux transformation for classical acoustic spectral problem
International Journal of Mathematics and Mathematical Sciences, 2003 We study discrete isospectral symmetries for the classical acoustic spectral problem in spatial dimensions one and two by developing a Darboux (Moutard) transformation formalism for this problem.
A. A. Yurova, A. V. Yurov, M. Rudnev
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Diverse Soliton Structures of Induced Curves in the Integrable Coupled Kuralay Equation
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This study explores the integrable coupled Kuralay equation, which is widely utilized to study the motion of induced curves. In fields such as ferromagnetic materials, nonlinear optics, and optical fibers, soliton solutions of the Kuralay equation have emerged as significant recent developments.
Shah Muhammad +4 more
wiley +1 more source
Quasi-Grammian Solutions of the Generalized Coupled Dispersionless Integrable System
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The standard binary Darboux transformation is investigated and is used to obtain quasi-Grammian multisoliton solutions of the generalized coupled dispersionless integrable system.
Bushra Haider, Mahmood-ul Hassan
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Darboux transformations and Darboux coverings: some applications to the KP hierarchy
Matemática Contemporânea, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paolo Casati +4 more
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Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This research work provides a comprehensive investigation of the M‐fractional paraxial wave equation (M‐fPWE) in describing complex optical phenomena in telecommunication systems and nonlinear media, focusing on the dynamical analysis of optical soliton solutions, the impact of M‐fractional parameters, stability, multistability, and the chaotic nature ...
Md. Mamunur Roshid +5 more
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Bäcklund--Darboux transformations in Sato's Grassmannian
, 1996 13 pages, LaTeX2e, uses amsfonts.sty and latexsym.sty, no ...
Bakalov, B., Horozov, E., Yakimov, M.
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This manuscript studies the stochastic time fraction modified complex Ginzburg–Landau (SFmCGL) model, an essential dynamical nonlinear model for describing the physical nature of how the optical wave soliton behaves and changes over time in a dynamic optical communication system.
Hala Abd-Elmageed +4 more
wiley +1 more source