Results 21 to 30 of about 452 (186)
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
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Acta Polytechnica, 2023 We generate solvable cases of the two angular equations resulting from variable separation in the three-dimensional Dunkl-Schrödinger equation expressed in spherical coordinates.
Axel Schulze-Halberg
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Mathematics, 2021 In this paper, by using the gauge transformation and the Lax pairs, the N-fold Darboux transformation (DT) of the classical three-component nonlinear Schrödinger (NLS) equations is given.
Yu-Shan Bai, Peng-Xiang Su, Wen-Xiu Ma
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Rational Solutions of a Weakly Coupled Nonlocal Nonlinear Schrödinger Equation
Advances in Mathematical Physics, 2018 In this article, we investigate an integrable weakly coupled nonlocal nonlinear Schrödinger (WCNNLS) equation including its Lax pair. Afterwards, Darboux transformation (DT) of the weakly coupled nonlocal NLS equation is constructed, and then the ...
Huijuan Zhou +2 more
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Darboux–Bäcklund transformations, dressing & impurities in multi-component NLS
Nuclear Physics B, 2017 We consider the discrete and continuous vector non-linear Schrödinger (NLS) model. We focus on the case where space-like local discontinuities are present, and we are primarily interested in the time evolution on the defect point. This in turn yields the
Panagiota Adamopoulou +2 more
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Minimal Darboux transformations [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2016 9 pages, 2 ...
Hertrich-Jeromin, Udo, Honda, Atsufumi
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Discrete Dynamics in Nature and Society, 2018 An integrable family of the different-difference equations is derived from a discrete matrix spectral problem by the discrete zero curvature representation. Hamiltonian structure of obtained integrable family is established.
Xi-Xiang Xu, Meng Xu
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Solution of High-Order Nonlinear Integrable Systems Using Darboux Transformation
Axioms, 2023 The 4×4 trace-free complex matrix set is introduced in this study. By using it, we are able to create a novel soliton hierarchy that is reduced to demonstrate its bi-Hamiltonian structure.
Xinhui Wu, Jiawei Hu, Ning Zhang
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Formal Diagonalisation of Lax-Darboux Schemes
Моделирование и анализ информационных систем, 2015 We discuss the concept of Lax-Darboux scheme and illustrate it on well known examples associated with the Nonlinear Schro¨dinger (NLS) equation. We explore the Darboux links of the NLS hierarchy with the hierarchy of Heisenberg model, principal chiral ...
A. V. Mikhailov
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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)
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