On one-soliton solutions of the Q2 equation in the ABS list
Advances in Difference Equations, 2019 In this paper, we derive seed and 1-soliton solutions of the Q2 equation in the Adler–Bobenko–Suris list. The seed solutions of Q2 are obtained using those of Q1(δ) $\mbox{Q}1(\delta)$ and an non-auto Bäcklund transformation connecting them.
Qiang Cheng +3 more
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Symbolic computation, Bäcklund transformation and analytic N-soliton-like solution for a nonlinear Schrödinger equation with nonuniformity term from certain space/laboratory plasmas [PDF]
, 2009 With symbolic computation, a bilinear Bäcklund transformation is presented for a nonlinear Schrödinger equation with nonuniformity term from certain space/laboratory plasmas, and correspondingly the one-soliton-like solution is derived from the Bäcklund ...
Yao, Zhen-Zhi +5 more
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New version of Bäcklund transformations in Euclidean 3-space [PDF]
, 2019 In this paper, we study the Bäcklund transformations for the adjoint curve in the Euclidean 3-space. Firstly, it is obtained some essential equations of the Bäcklund transformation.
Körpınar, Talat +3 more
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Painlevé analysis and Bäcklund transformation for a three-dimensional Kadomtsev-Petviashvili equation [PDF]
, 1997 In this paper, we have analysed the integrability properties of a three-dimensional Kadomtsev-Petviashvili equation by Painlevé test and the associated Bäcklund transformation is constructed straightforwardly from the Painlevé ...
Alagesan, T. +5 more
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The Lattice Structure of Connection Preserving Deformations for q-Painlevé Equations I
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We wish to explore a link between the Lax integrability of the q-Painlevé equations and the symmetries of the q-Painlevé equations. We shall demonstrate that the connection preserving deformations that give rise to the q-Painlevé equations may be thought
Christopher M. Ormerod
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A vector asymmetrical NNV equation: Soliton solutions, bilinear Bäcklund transformation and Lax pair [PDF]
, 2008 A vector asymmetrical Nizhnik–Novikov–Veselov (NNV) equation is proposed based on its bilinear form. Soliton solutions expressed by Pfaffians are obtained.
Tam, Hon-Wah, Yu, Guo-Fu
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The Maxwell equations as a Bäcklund transformation
Advanced Electromagnetics, 2015 Bäcklund transformations (BTs) are a useful tool for integrating nonlinear partial differential equations (PDEs). However, the significance of BTs in linear problems should not be ignored.
C. J. Papachristou
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Partial Differential Equations in Applied Mathematics, 2022 In this paper I give a short review on the continuous, semi-discrete and discrete Burgers equations, which are featured as integrable equations that are linearisable.
Da-jun Zhang
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Generalized x-dependent modified Korteweg-de Vries equation: Painlevé analysis, Bäcklund transformation and soliton solutions [PDF]
, 1996 We point out how the Painlevé analysis of solutions of the generalized x-dependent modified Korteweg-de Vries equation systematically provides the integrability properties of the equation.
K. Porsezian, Porsezian, K.
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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
wiley +1 more source