Lax representations and Bäcklund transformations for one-dimensional nonlinear evolution equations

1995 ◽  
Vol 36 (1) ◽  
pp. 147-159
Author(s):  
G. A. Rudykh ◽  
É. I. Semënov
Keyword(s):  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Bäcklund Transformations ◽  
One Dimensional ◽  
Backlund Transformations

Auto-Bäcklund Transformations Derived via the Implicit C-D Pair

2012 ◽  
Vol 268-270 ◽  
pp. 1345-1348
Author(s):  
Xiao Li Wang ◽  
Jian Qin Mei ◽  
Zhen Hua Wu
Keyword(s):  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Bäcklund Transformations ◽  
New Approach ◽  
Backlund Transformations

By the implicit C-D pairs, a new approach to auto-B¨acklund transformations of nonlinear evolution equations is presented in this paper. The auto-B¨acklund transformations for combined KdV and MKdV equations are obtained by this approach.

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