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Zbl 1082.65585
Wazwaz, Abdul-Majid
The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations. (English)
[J] Appl. Math. Comput. 167, No. 2, 1196-1210 (2005). ISSN 0096-3003

Summary: We use the tanh method for traveling wave solutions of the sine-Gordon and the sinh-Gordon equations. Several exact solutions of distinct physical structures are obtained. The method is powerful with minimal algebra work and is demonstrated for four models.
MSC 2000:
*65M70 Spectral, collocation and related methods (IVP of PDE)
35Q53 KdV-like equations
37K10 Completely integrable systems etc.

Keywords: sine-Gordon equation; tanh method; traveling wave solutions; sinh-Gordon equations

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