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

1983 ◽  
Vol 27 (5) ◽  
pp. 321-322 ◽  
Author(s):  
Huang Xun-Cheng
Keyword(s):  
Wave Equations ◽  
Bäcklund Transformation ◽  
Backlund Transformation

COMPUTERIZED SYMBOLIC COMPUTATION FOR THE MODIFIED DISPERSIVE WATER WAVE EQUATIONS

2001 ◽  
Vol 12 (09) ◽  
pp. 1357-1360 ◽  
Author(s):  
YI-TIAN GAO ◽  
BO TIAN
Keyword(s):  
Symbolic Computation ◽  
Water Wave ◽  
Wave Equations ◽  
Bäcklund Transformation ◽  
Backlund Transformation

With computerized symbolic computation, we present an auto-Bäcklund transformation and three families of soliton-like solutions to the modified dispersive water wave equations.

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

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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