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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. |
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Keywords: the elliptic-like sub-ODE, the sine-cosine method, the Klein-Gordon equation, the modified Kdv |
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