scholarly journals Painlevé analysis and exact solutions of bosonized N = 1 supersymmetric Burgers equation

Open Physics ◽  
2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Bo Ren
Keyword(s):  
Exact Solutions ◽  
Burgers Equation ◽  
Expansion Method ◽  
Singularity Analysis ◽  
Bäcklund Transformations ◽  
Painlevé Analysis ◽  
Explicit Solutions ◽  
Bosonic System ◽  
Painlevé Property ◽  
Backlund Transformations

AbstractBased on the bosonization approach, the N = 1 supersymmetric Burgers (SB) system is transformed to a coupled pure bosonic system. The Painlevé property and the Bäcklund transformations (BT) of the bosonized SB (BSB) system are obtained through standard singularity analysis. Explicit solutions such as the muti-solitarywaves and error functionwaves are provided for the BT. The exact solutions of the BSB system are obtained from the generalized tanh expansion method.

scholarly journals Bäcklund Transformation and New Exact Solutions of the Sharma-Tasso-Olver Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Lin Jianming ◽  
Ding Jie ◽  
Yuan Wenjun
Keyword(s):  
Exact Solutions ◽  
Bäcklund Transformation ◽  
Analytic Study ◽  
Bäcklund Transformations ◽  
Painlevé Analysis ◽  
Backlund Transformation ◽  
New Exact Solutions ◽  
Backlund Transformations ◽  
Painleve Analysis

The Sharma-Tasso-Olver (STO) equation is investigated. The Painlevé analysis is efficiently used for analytic study of this equation. The Bäcklund transformations and some new exact solutions are formally derived.

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.

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