Bäcklund Transformations and Exact Solutions for Nonlinear Evolution Equations in Rayleigh-Taylor Instability

1999 ◽  
Vol 68 (7) ◽  
pp. 2466-2467 ◽  
Author(s):  
Ahmed H. Khater ◽  
Abdulazeem A. Abdallah ◽  
Omar H. El-Kalaawy ◽  
Dirk K. Callebaut
Keyword(s):  
Exact Solutions ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Taylor Instability ◽  
Nonlinear Evolution Equations ◽  
Bäcklund Transformations ◽  
Backlund Transformations ◽  
Rayleigh Taylor Instability

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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