The(G'/G,1/G)-Expansion Method and Its Applications for Solving Two Higher Order Nonlinear Evolution Equations
2014 ◽
Vol 2014
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pp. 1-20
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Keyword(s):
The two variable(G'/G,1/G)-expansion method is employed to construct exact traveling wave solutions with parameters of two higher order nonlinear evolution equations, namely, the nonlinear Klein-Gordon equations and the nonlinear Pochhammer-Chree equations. When the parameters are replaced by special values, the well-known solitary wave solutions of these equations are rediscovered from the traveling waves. This method can be thought of as the generalization of well-known original(G'/G)-expansion method proposed by Wang et al. It is shown that the two variable(G'/G,1/G)-expansion method provides a more powerful mathematical tool for solving many other nonlinear PDEs in mathematical physics.
2012 ◽
Vol 2012
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pp. 1-14
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2011 ◽
Vol 24
(1)
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pp. 55-69
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2012 ◽
Vol 4
(1)
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pp. 122-130
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2014 ◽
Vol 33
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pp. 83-92
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2013 ◽
Vol 1
(4)
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pp. 129-136
2011 ◽
Vol 25
(02)
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pp. 319-327
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2014 ◽
Vol 22
(2)
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pp. 220-226
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2015 ◽
Vol 12
(12)
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pp. 5716-5724
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2015 ◽
Vol 7
(3)
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pp. 1-10
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