Generating the Bogomolny-Prasad-Sommerfield One-Monopole Solution by a Bäcklund Transformation

Physical Review Letters ◽

10.1103/physrevlett.45.505 ◽

1980 ◽

Vol 45 (7) ◽

pp. 505-508 ◽

Author(s):

Peter Forgács ◽

Zalán Horváth ◽

László Palla

Keyword(s):

Bäcklund Transformation ◽

Backlund Transformation ◽

Monopole Solution

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Bilinear Bäcklund transformation, N ‐soliton, and infinite conservation laws for Lax–Kadomtsev–Petviashvili and generalized Korteweg–de Vries equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7516 ◽

2021 ◽

Author(s):

Shrouk Wael ◽

Aly R. Seadawy ◽

Salah M. Moawad ◽

Omar H. El‐Kalaawy

Keyword(s):

Conservation Laws ◽

Bäcklund Transformation ◽

Backlund Transformation ◽

Bilinear Bäcklund Transformation ◽

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Casoratian Solutions to Toda Lattice Via Its Bäcklund Transformation

Communications in Theoretical Physics ◽

10.1088/0253-6102/53/3/06 ◽

2010 ◽

Vol 53 (3) ◽

pp. 435-439

Author(s):

Xuan Qi-Fei ◽

Zhang Da-Jun ◽

Zhou Jing

Keyword(s):

Toda Lattice ◽

Bäcklund Transformation ◽

Backlund Transformation

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A One-Parameter Bäcklund Transformation for the Euclidean Liouville and Wave Equations

Physica Scripta ◽

10.1088/0031-8949/27/5/001 ◽

1983 ◽

Vol 27 (5) ◽

pp. 321-322 ◽

Author(s):

Huang Xun-Cheng

Keyword(s):

Wave Equations ◽

Bäcklund Transformation ◽

Backlund Transformation

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Multi-soliton solutions and Bäcklund transformation for a two-mode KdV equation in a fluid

Waves in Random and Complex Media ◽

10.1080/17455030.2016.1185193 ◽

2016 ◽

Vol 27 (1) ◽

pp. 1-14 ◽

Author(s):

Zi-Jian Xiao ◽

Bo Tian ◽

Hui-Ling Zhen ◽

Jun Chai ◽

Xiao-Yu Wu

Keyword(s):

Bäcklund Transformation ◽

Kdv Equation ◽

Soliton Solutions ◽

Backlund Transformation

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Solitonic solutions and Bäcklund transformation for the inhomogeneous N-coupled nonlinear Schrödinger equations

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2008.09.033 ◽

2009 ◽

Vol 388 (2-3) ◽

pp. 209-217 ◽

Author(s):

Xiang-Hua Meng ◽

Bo Tian ◽

Tao Xu ◽

Hai-Qiang Zhang ◽

Qian Feng

Keyword(s):

Bäcklund Transformation ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Backlund Transformation ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Bäcklund transformation, residual symmetry and exact interaction solutions of an extended (2+1)-dimensional Korteweg–de Vries equation

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107640 ◽

2021 ◽

pp. 107640

Author(s):

Huiling Wu ◽

Qiaoyun Chen ◽

Junfeng Song

Keyword(s):

Vries Equation ◽

Bäcklund Transformation ◽

Backlund Transformation ◽

Residual Symmetry ◽

Interaction Solutions ◽

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N-dimensional Auto-Bäcklund transformation and exact solutions to n-dimensional Burgers system

Applied Mathematics Letters ◽

10.1016/j.aml.2016.07.019 ◽

2017 ◽

Vol 63 ◽

pp. 46-52 ◽

Author(s):

Mingliang Wang ◽

Jinliang Zhang ◽

Xiangzheng Li

Keyword(s):

Exact Solutions ◽

Bäcklund Transformation ◽

Backlund Transformation ◽

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Analytical study on a two-dimensional Korteweg–de Vries model with bilinear representation, Bäcklund transformation and soliton solutions

Applied Mathematical Modelling ◽

10.1016/j.apm.2014.10.046 ◽

2015 ◽

Vol 39 (12) ◽

pp. 3221-3226 ◽

Author(s):

Xing Lü ◽

Fuhong Lin ◽

Fenghua Qi

Keyword(s):

Analytical Study ◽

Bäcklund Transformation ◽

Soliton Solutions ◽

Two Dimensional ◽

Backlund Transformation ◽

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Backlund transformation for the non-isospectral and variable-coefficient non-linear Schrodinger equation

Journal of Physics A General Physics ◽

10.1088/0305-4470/22/5/010 ◽

1989 ◽

Vol 22 (5) ◽

pp. 441-449 ◽

Author(s):

Yu kun Zhena ◽

W L Chan

Keyword(s):

Schrödinger Equation ◽

Variable Coefficient ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Backlund Transformation ◽

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Painlevé analysis, auto-Bäcklund transformation, and new exact solutions for Schamel and Schamel-Korteweg-de Vries-Burger equations in dust ion-acoustic waves plasma

Physics of Plasmas ◽

10.1063/1.4895498 ◽

2014 ◽

Vol 21 (9) ◽

pp. 092308 ◽

Author(s):

O. H. EL-Kalaawy ◽

R. B. Aldenari

Keyword(s):

Exact Solutions ◽

Acoustic Waves ◽

Bäcklund Transformation ◽

Painlevé Analysis ◽

Backlund Transformation ◽

Ion Acoustic Waves ◽

New Exact Solutions ◽

Ion Acoustic ◽

De Vries ◽

Dust Ion Acoustic Waves

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