The Two-Variable -Expansion Method for Solving the Nonlinear KdV-mKdV Equation
2012 ◽
Vol 2012
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pp. 1-14
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Keyword(s):
We apply the two-variable (, )-expansion method to construct new exact traveling wave solutions with parameters of the nonlinear ()-dimensional KdV-mKdV equation. This method can be thought of as the generalization of the well-known ()-expansion method given recently by M. Wang et al. When the parameters are replaced by special values, the well-known solitary wave solutions of this equation are rediscovered from the traveling waves. It is shown that the proposed method provides a more general powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.
2015 ◽
Vol 7
(3)
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pp. 1-10
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2014 ◽
Vol 2014
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pp. 1-20
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2019 ◽
pp. 1-19
2015 ◽
Vol 11
(3)
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pp. 3134-3138
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2014 ◽
Vol 6
(2)
◽
pp. 273-284
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2020 ◽
Vol ahead-of-print
(ahead-of-print)
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2011 ◽
Vol 24
(1)
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pp. 55-69
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