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Exact Solutions of a Class of Partial Differential Equations
Rongfen Shi * #,Houxia Shi,Chao Li
School of Mathematics and Statistics,Lanzhou University
*Correspondence author
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Funding: none
Opened online:23 April 2008
Accepted by: none
Citation: Rongfen Shi,Houxia Shi,Chao Li.Exact Solutions of a Class of Partial Differential Equations[OL]. [23 April 2008] http://en.paper.edu.cn/en_releasepaper/content/20788
 
 
In this work we convert several partial differential equations into the elliptic-like sub-ODE, such as the Klein-Gordon equation, the modified Kdv equation and the nonlinear Schr\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\"{o}dinger equation. Then we obtain the exact solutions of the elliptic-like sub-ODE by the projective Riccati method and the sine-cosine method, and get exact solutions of the nonlinear partial differential equations.
Keywords: the elliptic-like sub-ODE, the sine-cosine method, the Klein-Gordon equation, the modified Kdv
 
 
 

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