Results 31 to 40 of about 883 (177)
Bäcklund Transformation and New Exact Solutions of the Sharma-Tasso-Olver Equation
Abstract and Applied Analysis, 2011 The Sharma-Tasso-Olver (STO) equation is investigated. The Painlevé analysis is efficiently used for analytic study of this equation. The Bäcklund transformations and some new exact solutions are formally derived.
Lin Jianming, Ding Jie, Yuan Wenjun
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Visco-Da Rios Equation in 3-Dimensional Riemannian Manifold
Frontiers in Physics, 2022 In this paper, we study two classes of a space curve evolution in terms of Frenet frame for the visco-Da Rios equation in a 3-dimensional Riemannain manifold.
Nevin Ertuğ Gürbüz, Dae Won Yoon
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New approach to Bäcklund transformations for a curve and its pedal curve [PDF]
, 2019 In this paper, we study Bäcklund transformations for the pedal curve given a space curve in the Euclidean 3-space. Firstly, we give Bishop frame on a pedal curve in E 3 . Then, we obtain some essential equations of Bäcklund transformation with the aid of
Sarıaydın, Muhammed T. +3 more
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On the Question of the Bäcklund Transformations and Jordan Generalizations of the Second Painlevé Equation [PDF]
, 2021 We demonstrate the way to derive the second Painlevé equation P2 and its Bäcklund transformations from the deformations of the Nonlinear Schrödinger equation (NLS), all the while preserving the strict invariance with respect to the Schlesinger ...
Valerian A. Yurov, Artyom V. Yurov
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Química Nova, 2015 We briefly investigated the well-known correlation of trihalomethanes, present in fresh water, with cancer hazard in humans. A transient alternative method of chemical simulation using Bäcklund Transformations and Quantum Mechanics is presented. Finally,
Benjamim H. de Lima Silva +1 more
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Virasoro symmetries of the constrained dispersionless mKP hierarchy
Physics Letters B, 2023 This paper aims at the auto-Bäcklund transformations for the dispersionless mKP hierarchy, dispersionless Miura map between the constrained dispersionless mKP hierarchy and the constrained dispersionless Harry Dym hierarchy and Virasoro symmetries of the
Xiaoman Luo, Chuanzhong Li
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Responsive Materials, EarlyView.This review summarizes the recent progress in responsive NO‐releasing materials and their applications in biofilm‐associated infectious diseases. The design principles and response mechanisms are given to provide inspiration toward the future development of multi‐responsive NO‐releasing materials.
Wenyue Sun +8 more
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Symmetry, Integrability and Geometry: Methods and Applications, 2008 We construct Miura transformations mapping the scalar spectral problems of the integrable lattice equations belonging to the Adler-Bobenko-Suris (ABS) list into the discrete Schrödinger spectral problem associated with Volterra-type equations.
Decio Levi +3 more
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Bäcklund Transformations for Nonlinear Differential Equations and Systems
Axioms, 2019 In this work, new Bäcklund transformations (BTs) for generalized Liouville equations were obtained. Special cases of Liouville equations with exponential nonlinearity that have a multiplier that depends on the independent variables and first-order ...
Tatyana V. Redkina +4 more
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Results in Physics, 2023 Results Phys. 51, 106624 (2023) and 50, 106566 (2023) have recently made some outstanding contributions to the studies of certain Korteweg-de Vries (KdV)-type systems. Inspired by those contributions, around a noncharacteristic movable singular manifold,
Xin-Yi Gao
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