scholarly journals New type infinite sequence exact solutions of the second KdV equation with variable coefficients

2012 ◽  
Vol 61 (6) ◽  
pp. 060201
Author(s):  
Taogetusang ◽  
Bai Yu-Mei
2009 ◽  
Vol 2009 ◽  
pp. 1-13 ◽  
Author(s):  
Alvaro H. Salas S ◽  
Cesar A. Gómez S

The general projective Riccati equation method and the Exp-function method are used to construct generalized soliton solutions and periodic solutions to special KdV equation with variable coefficients and forcing term.


Author(s):  
Supratim Das ◽  
Dibyendu Ghosh

We apply the AKNS hierarchy to derive the generalized KdV equation andthe generalized modified KdV equation with variable-coefficients. We system-atically derive new exact solutions for them. The solutions turn out to beexpressible in terms of doubly-periodic Jacobian elliptic functions.


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