Results 1 to 10 of about 275 (183)
Darboux transformation: new identities [PDF]
Physica Scripta, 2019 Abstract 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
openaire +2 more sources
A Method for Obtaining Darboux Transformations [PDF]
Journal of Nonlinear Mathematical Physics, 1998 In this paper we give a method to obtain Darboux transformations (DTs) of integrable equations. As an example we give a DT of the dispersive water wave equation. Using the Miura map, we also obtain the DT of the Jaulent-Miodek equation. \end{abstract}
Lu, Baoqun, He, Yong, Ni, Guangjiong
openaire +2 more sources
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
doaj +1 more source
Minimal Darboux transformations [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2016 9 pages, 2 ...
Hertrich-Jeromin, Udo, Honda, Atsufumi
openaire +2 more sources
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
doaj +1 more source
MKdV方程和SG方程的可积曲面的构造(Conformation of soliton surfaces of MKdV equation and SG equation)
Zhejiang Daxue xuebao. Lixue ban, 2010 The soliton solutions and the soliton surfaces of Modified Korteweg-de Vries equation (MKdV) and Sine-Gordon (SG) equation by the n-fold Darboux transformation are given out.
ZHANGLing(张玲), DINGNan(丁楠)
doaj +1 more source
Solitons and the generalized Cole-Hopf substitutions
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 This paper examines the relationship between the method of the inverse problem and the method of generalized Cole-Hopf substitutions. The relationship between these methods is established by comparing the method of Darboux transformations and the method ...
V. M. Zhuravlev, A. N. Byzykchi
doaj +3 more sources
Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2019 The Lotka-Volterra cubicdifferential systems with (1:-2)-singularity possessing invariant straight lines of two direction and total multiplicity six are classified.
Silvia TURUTA
doaj +1 more source
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
openaire +1 more source
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.
openaire +2 more sources