Soliton management in a variable-coefficient coupled dispersionless system via Darboux transformation [PDF]
Scientific ReportsWe study a coupled dispersionless system in $$(1+1)$$ dimensions with a time-dependent coefficient in the nonlinear coupling. The model consists of a real field u(x, t) and a complex field $$\psi (x,t)$$ , driven by a prescribed modulation function ...
H. W. A. Riaz +2 more
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Group similarity solutions of (2+1) Boiti-Leon-Manna-Pempinelli Lax pair
Ain Shams Engineering Journal, 2014 In this paper, a two parameter group transformation is applied to the Lax pair of a (2+1) Boiti–Leon–Manna–Pempinelli (BMLP). Three similarity variables are derived.
S. Mabrouk, M. Kassem
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The Lax pair for the fermionic Bazhanov-Stroganov R-operator
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2021 We derive the Lax connection of the free fermion model on a lattice starting from the fermionic formulation of Bazhanov-Stroganov's three-parameter elliptic parametrization for the R-operator.
Gabrielle Weber, Arsen Melikyan
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Quasi-integrability from $$\mathcal{P}\mathcal{T}$$ -symmetry [PDF]
Scientific ReportsParity and time-reversal ( $$\mathcal{P}\mathcal{T}$$ ) symmetry is shown as the natural cause of quasi-integrability of deformed integrable models, crucial to represent real physical systems as they posses various irregularities.
Kumar Abhinav +2 more
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Assessing vowel effects on voice quality, and voice quality effects on the respiratory system [PDF]
JASA Express Letters, 2021 This study assesses (a) effects of vowel height and tense-lax status on the laryngeal closed quotient (CQ) and (b) whether respiratory volume changes vary with differences in CQ.
Laura L. Koenig, Susanne Fuchs
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Geometry of coupled dispersionless equations with Mannheim curves
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, a special kind of curve pair associated with each other by the linear dependency between the principal normal vector of the first curve (called Mannheim curve) and the binormal vector of the second curve (called Mannheim partner curve) is ...
Eren Kemal
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Similarity Analysis of Lax Pairs for a Class of Nonlinear Evolution Equations. [PDF]
The Egyptian International Journal of Engineering Sciences and TechnologyThe similarity transformation (ST) method is applied to reduce the Lax pair for some nonlinear partial differential equations (NLPDEs) into a system of ordinary differential equations (ODEs) to obtain its similarity solutions.
Shaimaa Ahmed, Samah Mabrouk
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Symmetry Reductions of (2 + 1)-Dimensional CDGKS Equation and Its Reduced Lax Pairs
Journal of Applied Mathematics, 2014 With the aid of symbolic computation, we obtain the symmetry transformations of the (2 + 1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation by Lou’s direct method which is based on Lax pairs. Moreover, we use the classical Lie group method
Na Lv, Xuegang Yuan, Jinzhi Wang
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Lax pairs for new ZN-symmetric coset σ-models and their Yang-Baxter deformations
Nuclear Physics B, 2022 Two-dimensional σ-models with ZN-symmetric homogeneous target spaces have been shown to be classically integrable when introducing WZ-terms in a particular way. This article continues the search for new models of this type now allowing some kinetic terms
David Osten
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Time-like boundary conditions in the NLS model
Nuclear Physics B, 2019 We focus on the non-linear Schrödinger model and we extend the notion of space-time dualities in the presence of integrable time-like boundary conditions.
Anastasia Doikou +2 more
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