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Equivalence of The (G `/G)-expansion Method and The Tanh-Coth Function Method
Faculty
Science
Year:
2010
Type of Publication:
InProcceding
Pages:
Authors:
Zayed, Elsayed M. E
Journal:
AMER INST PHYSICS
Volume:
Research Area:
Engineering; Mathematics; Physics
ISSN
ISI:000289661501214
Keywords :
The(G `/G)-expansion method, The tanh-coth function method, The equivalence of these methods, The Pochhammer-Chree equation, Exact solutions
Abstract:
Wazwaz {[}Appl. Math. Comput 195, 24-33 (2008)] has used the tanh-coth function method to find the solutions of the Pochhammer-Chree equation (1). In this article, we have applied the (G'/G)-expansion method to solve the same equation. We have noted that both of these methods give the same solutions. Furthermore, we have shown in theorem 1, that the (G'/G)-expansion method is equivalent to the tanh-coth function method
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