Thiophene Derivatives as Versatile Precursors for (Hetero)Arene and Natural Product Synthesis. [PDF]
Angew Chem Int Ed EnglHidden but Powerful: Thiophenes and their saturated analogues have been demonstrated to be versatile C4‐building blocks that can be rapidly applied to natural product synthesis and the construction of functionalized (hetero)arenes. This minireview aims to provide a concise overview of the strategies and implementations of these sulfur‐containing ...
Keimer A, Haut FL.
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Generalized Bäcklund transformations for affine Toda hierarchies [PDF]
, 2021 The construction of generalized Bäcklund transformation for the An affine Toda hierarchy is proposed in terms of gauge transformation acting on the zero curvature representation.
De Carvalho Ferreira, J. M. [UNESP] +3 more
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Quantum Bäcklund transformation for the Liouville theory [PDF]
, 1982 The classical Bäcklund transformation, which maps the Liouville model onto a free field theory, is developed into an explicit operator relation for quantum fields.
Braaten, Eric +2 more
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Gauge Miura and Bäcklund transformations for generalized An-KdV hierarchies [PDF]
, 2021 The construction of Miura and Bäcklund transformations for An mKdV and KdV hierarchies are presented in terms of gauge transformations acting upon the zero curvature representation.
De Carvalho Ferreira, J. M. [UNESP] +3 more
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Nonclassical Symmetries and Bäcklund Transformations [PDF]
, 1993 In this paper we show how to obtain well-known Bäcklund transformations of several equations by applying the nonclassical symmetries method. In particular, we derive the Bäcklund transformation between the modified Korteweg-de Vries and the Korteweg-de ...
Nucci, M.C., NUCCI, Maria Clara
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A bilinear Bäcklund transformation of a (3+1) -dimensional generalized KP equation [PDF]
, 2012 A bilinear Bäcklund transformation is presented for a (3+1)-dimensional generalized KP equation, which consists of six bilinear equations and involves nine arbitrary parameters.
Abdeljabbar, Alrazi, Ma, Wen-Xiu
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Construction of type-II Bäcklund transformation for the mKdV hierarchy [PDF]
, 2015 From an algebraic construction of the mKdV hierarchy we observe that the space component of the Lax operator plays the role of a universal algebraic object.
Gomes, J. F. +5 more
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Novel Bäcklund Transformations for Integrable Equations
Mathematics, 2022 In this paper, we construct a new matrix partial differential equation having a structure and properties which mirror those of a matrix fourth Painlevé equation recently derived by the current authors.
Pilar Ruiz Gordoa, Andrew Pickering
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Beşinci mertebeden Burgers Hierarchy denklemi için Auto-Bäcklund dönüşümü [PDF]
, 2019 In this paper, we implemented Auto-Bäcklund transformation for fifth order equation of the Burgers hierarchy. Auto-Bäcklund transformation was developed as a direct and simple method to obtain solutions of nonlinear partial differential equations by Fan.
İnan, İbrahim Enam
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The N-soliton solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation
Results in Physics, 2022 Through the Bäcklund transformation and Hirota bilinear form, the explicit solutions with localized structures for the (2+1)-dimensional Hirota–Satsuma–Ito equation are solved.
Zheng-Yi Ma, Jin-Xi Fei, Wei-Ping Cao
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