singular manifold method
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The singular manifold method for a class of fractional-order diffusion equations

2022 ◽  
pp. 1-12
Author(s):  
R. Saleh ◽  
Samah M. Mabrouk ◽  
Abdul Majid Wazwaz
Keyword(s):  
Fractional Order ◽  
Diffusion Equations ◽  
Singular Manifold ◽  
Singular Manifold Method

scholarly journals Derivative non-linear Schrödinger equation: Singular manifold method and Lie symmetries

2021 ◽  
Vol 400 ◽  
pp. 126089
Author(s):  
P. Albares ◽  
P. G Estévez ◽  
J.D. Lejarreta
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Lie Symmetries ◽  
Singular Manifold ◽  
Non Linear ◽  
Singular Manifold Method

Exact solutions of Calgero-Bogoyavlenskii-Schiff equation using the singular manifold method after Lie reductions

2017 ◽  
Vol 40 (16) ◽  
pp. 5851-5862 ◽  
Author(s):  
R. Saleh ◽  
M. Kassem ◽  
S. Mabrouk
Keyword(s):  
Exact Solutions ◽  
Singular Manifold ◽  
Singular Manifold Method

scholarly journals Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems

2009 ◽  
Vol 2009 ◽  
pp. 1-10 ◽  
Author(s):  
Yan-ze Peng
Keyword(s):  
Exact Solutions ◽  
Burgers Equation ◽  
Bäcklund Transformations ◽  
Singular Manifold ◽  
Localized Structures ◽  
Higher Dimensional ◽  
Backlund Transformations ◽  
First Time ◽  
Singular Manifold Method ◽  
Burgers System

A(2+1)dimensional Burgers equation and a coupled higher dimensional Burgers system is studied by the singular manifold method. The Bäcklund transformations are obtained. Some interesting exact solutions are given. Then localized structures, such as dromion and solitoff, are found, and their interaction properties are numerically studied. The fusion phenomena of two dromions, a dromion and a solitoff, are for the first time reported.

scholarly journals Symbolic-computation study of integrable properties for the (2 + 1)-dimensional Gardner equation with the two-singular manifold method

2008 ◽  
Vol 74 (1) ◽  
pp. 46-61 ◽  
Author(s):  
H.-Q. Zhang ◽  
B. Tian ◽  
J. Li ◽  
T. Xu ◽  
Y.-X. Zhang
Keyword(s):  
Symbolic Computation ◽  
Gardner Equation ◽  
Singular Manifold ◽  
Singular Manifold Method

The functional separation method based on the singular manifold method

2007 ◽  
Vol 60 (2) ◽  
pp. 259-271 ◽  
Author(s):  
Yan-ze Peng
Keyword(s):  
Separation Method ◽  
Singular Manifold ◽  
Singular Manifold Method

New applications of the singular manifold method to the (2+1)-dimensional Burgers equations

2006 ◽  
Vol 183 (1) ◽  
pp. 61-67 ◽  
Author(s):  
Yan-ze Peng ◽  
Emmanuel Yomba
Keyword(s):  
Burgers Equations ◽  
Singular Manifold ◽  
New Applications ◽  
Singular Manifold Method
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