Results 91 to 100 of about 1,585,437 (172)

Bilinear Form and Two Bäcklund Transformations for the (3+1)-Dimensional Jimbo-Miwa Equation

Abstract and Applied Analysis, 2015
With Bell polynomials and symbolic computation, this paper investigates the (3+1)-dimensional Jimbo-Miwa equation, which is one of the equations in the Kadomtsev-Petviashvili hierarchy of integrable systems.
He Li, Yi-Tian Gao
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Solitary wave fission and fusion in the (2+1)-dimensional generalized Broer–Kaup system

Nonlinear Analysis, 2012
Via a special Painlevé–Bäcklund transformation and the linear superposition theorem, we derive the general variable separation solution of the (2 + 1)-dimensional generalized Broer – Kaup system.
Chaoqing Dai, Cuiyun Liu
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New approach to Bäcklund transformations for a curve and its pedal curve

, 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., Sarıaydın M.T., Körpınar, Talat, Körpınar, Talat.   +3 more
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Bäcklund transformations for minimal surfaces

, 2015
In this thesis, we study a Bäcklund transformation for minimal surfaces - surfaces with vanishing mean curvature - transforming a given minimal surface into a possible infinity of new ones.
Bäck, Per
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Integrable discretisations and Yang–Baxter maps for super nonlinear Schrödinger systems

Nuclear Physics B
We construct an integrable Grassmann-extended vertex-bond discrete system, which can be restricted to the Grassmann-extended Adler–Yamilov system of partial difference equations, and we derive a Darboux matrix and a Bäcklund transformation for the latter.
Sotiris Konstantinou-Rizos
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Bäcklund Transformations between the KdV Equation and a New Nonlinear Evolution Equation

, 2017
We first give a Bäcklund transformation from the KdV equation to a new nonlinear evolution equation. We then derive two Bäcklund transformations with two pseudopotentials, one of which is from the KdV equation to the new equation and the other from the ...
Xifang Cao
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Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation

, 2006
There has been considerable interest in the study on the variable-coefficient nonlinear evolution equations in recent years, since they can describe the real situations in many fields of physical and engineering sciences.
Chun-Yi Zhang, Guang-Mei Wei, Wei Hu, Yi-Tian Gao   +3 more
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Prolongation Structure of a Development Equation and Its Darboux Transformation Solution

Mathematics
This paper explores the third-order nonlinear coupled KdV equation utilizing prolongation structure theory and gauge transformation. By applying the prolongation structure method, we obtained an extended version of the equation.
Lixiu Wang, Jihong Wang, Yangjie Jia
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Quantum Bäcklund Transformations and Conformal Algebras

A quantum Bäcklund transformation can provide a mapping from one realization of su(1,1), and any of its quantum deformations or Virasoro algebra extensions, to another. Nontrivial realizations can be related to trivial ones.
Curtright, Thomas
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Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces

Symmetry, Integrability and Geometry: Methods and Applications, 2006
We obtain via Bäcklund transformation the Hamiltonian representation for a Lax type nonlinear dynamical system hierarchy on a dual space to the Lie algebra of super-integral-differential operators of one anticommuting variable, extended by evolutions of ...
Oksana Ye. Hentosh
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