Results 41 to 50 of about 1,134 (216)
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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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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Binary Darboux transformation for the Gerdjikov–Ivanov equation [PDF]
, 2022 We present a standard binary Darboux transformation for the Gerdjikov–Ivanov equation and then construct its quasigrammian solutions. Further, the multi-soliton, breather and rogue wave solutions of the Gerdjikov–Ivanov equation are given as particular ...
Yilmaz, Halis
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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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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
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Two-peak soliton in the CKP hierarchy [PDF]
, 2006 We present a systematic approach to the construction of soliton solutions for the 5-reduction of the C-type sub-hierarchy for the Kadomtsev–Petviashvili (CKP) hierarchies starting from the general τ-function τ(n+k) of the Kadomtsev–Petviashvili (KP ...
Cheng, Yi +2 more
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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 ...
Retat Alexandre +6 more
wiley +1 more source
Rational solitons of wave resonant-interaction models
, 2013 Integrable models of resonant interaction of two or more waves in 1+1 dimensions are known to be of applicative interest in several areas. Here we consider a system of three coupled wave equations which includes as special cases the vector nonlinear ...
Degasperis, Antonio +2 more
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