Results 31 to 40 of about 2,288,345 (293)
Applied Mathematics Letters, 2019 In this paper, we investigate a generalized AB system, which is used to describe certain baroclinic instability processes in the geophysical flows. For the two short waves and mean flow, we derive out the Darboux and generalized Darboux transformations ...
Jing-Jing Su, Yi-Tian Gao, Cui-Cui Ding
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Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation [PDF]
Communications in nonlinear science & numerical simulation, 2016 A nonlocal derivative nonlinear Schrodinger equation is discussed. By constructing its Darboux transformations of degree 2n, the explicit expressions of new solutions are derived from zero seed solutions.
Zixiang Zhou
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The Darboux system: Finite-rank constraints and Darboux transformations [PDF]
Journal of Mathematical Physics, 1997 The exponential solutions of the Darboux equations for conjugate nets is considered. It is shown that rank-one constraints over the right derivatives of invertible operators on an arbitrary linear space give solutions of the Darboux system, which can be understood as a vectorial Darboux transformation of the exponential background.
Guil Guerrero, Francisco José +1 more
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A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
Mathematics, 2023 In this paper, we introduce a modification of the Singular Manifold Method in order to derive the associated spectral problem for a generalization of the complex version of the modified Korteweg–de Vries equation.
Paz Albares, Pilar G. Estévez
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Darboux Transformations for Supersymmetric Korteweg - de Vries Equations [PDF]
, 1994 \hspace{.2in}We consider the Darboux type transformations for the spectral problems of supersymmetric KdV systems. The supersymmetric analogies of Darboux and Darboux-Levi transformations are established for the spectral problems of Manin-Radul-Mathieu ...
B. A. Kupershmidt +20 more
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Darboux-type transformations and hyperelliptic curves [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 1999 We systematically study Darboux-type transformations for the KdV and AKNS hierarchies and provide a complete account of their effects on hyperelliptic curves associated with algebro-geometric solutions of these hierarchies.
Fritz Gesztesy, Helge Holden
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Darboux transformation: new identities [PDF]
Physica Scripta, 2019 This letter reports some new identities for multisoliton potentials that are based on the explicit representation provided by the Darboux matrix. These identities can be used to compute the complex gradient of the energy content of the tail of the profile with respect to the discrete eigenvalues and the norming constants. The associated derivatives are
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B\"acklund-Darboux Transformations and Discretizations of Super KdV Equation [PDF]
, 2014 For a generalized super KdV equation, three Darboux transformations and the corresponding B\"acklund transformations are constructed. The compatibility of these Darboux transformations leads to three discrete systems and their Lax representations.
Liu, Qing Ping, Xue, Ling-Ling
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A look at the generalized Darboux transformations for the quasinormal spectra in Schwarzschild black hole perturbation theory: Just how general should it be? [PDF]
Physics Letters, 2018 In this article we take a close look at three types of transformations usable in the Schwarzschild black hole perturbation theory: a standard (DT), a binary (BDT) and a generalized (GDT) Darboux transformations.
A. Yurov, V. Yurov
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Quantum reference frames: derivation of perspective-dependent descriptions via a perspective-neutral structure [PDF]
Quantum, 2023 In standard quantum mechanics, reference frames are treated as abstract entities. We can think of them as idealized, infinite-mass subsystems which decouple from the rest of the system. In nature, however, all reference frames are realized through finite-
Viktor Zelezny
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