Results 91 to 100 of about 1,069 (170)

Bäcklund transformation, multiple wave solutions and lump solutions to a (3 + 1)-dimensional nonlinear evolution equation [PDF]

, 2017
In this paper, a (3+1)-dimensional nonlinear evolution equation is cast into Hirota bilinear form with a dependent variable transformation. A bilinear Bäcklund transformation is then presented, which consists of six bilinear equations and involves nine ...
Gao, Li-Na, Lü, Xing, Yao-Yao Zi, Yin, Yu-Hang, Xing Lü, Yu-Hang Yin, Wen-Xiu Ma, Yao-Yao, Zi, Li-Na Gao, Ma, Wen-Xiu   +9 more
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Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy [PDF]

, 2018
In this paper we consider the N = 1 supersymmetric mKdV hierarchy composed of positive odd flows embedded within an affine ŝl(2,1) algebra. Its Bäcklund transformations are constructed in terms of a gauge transformation preserving the zero curvature ...
Aguirre, A. R., A. R. Aguirre, J. F. Gomes, A. H. Zimerman, Zimerman, A. H. [UNESP], A. L. Retore, N. I. Spano, Gomes, J. F. [UNESP], Retore, A. L., Spano, N. I. [UNESP]   +9 more
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Quantum Bäcklund Transformations and Conformal Algebras [PDF]

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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Soliton solutions and interaction phenomena in oceanography using Hirota bilinear neural network architecture with Bäcklund transformations: A hybrid paradigm

Alexandria Engineering Journal
This study demonstrates the ability of hybrid neural networks to produce soliton and interaction solutions for the Itô equation in three-dimensional spaces representing an idealized ocean environment. The hybrid neural network developed utilizes both the
Wedad Albalawi, Fatemah Mofarreh, R.T. Matoog, Nauman Raza   +3 more
doaj   +1 more source

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
doaj   +1 more source

Defeitos e transformações de Bäcklund para a hierarquia mKdV Supersimétrica com N=1 [PDF]

, 2018
A integrabilidade da hierarquia de Korteweg de-Vries modificada supersimétrica com N=1 (smKdV) na presença de defeitos é investigada através da construção de sua transformação de Bäcklund supersimétrica.
Spano, Nathaly Infantini [UNESP]
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Bäcklund transformations for minimal surfaces [PDF]

, 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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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
doaj  

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
doaj   +1 more source

Helices, Hasimoto Surfaces and Bäcklund Transformations [PDF]

, 2000
Travelling wave solutions to the vortex filament flow generated by elastica produce surfaces in R³ that carry mutually orthogonal foliations by geodesics and by helices.
Thomas A. Ivey
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