Application of the Cole-Hopf Transformation for Finding Exact Solutions to Several Forms of the Seventh-Order KdV Equation
2010 ◽
Vol 2010
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pp. 1-14
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We use a generalized Cole-Hopf transformation to obtain a condition that allows us to find exact solutions for several forms of the general seventh-order KdV equation (KdV7). A remarkable fact is that this condition is satisfied by three well-known particular cases of the KdV7. We also show some solutions in these cases. In the particular case of the seventh-order Kaup-Kupershmidt KdV equation we obtain other solutions by some ansatzes different from the Cole-Hopf transformation.
2010 ◽
Vol 2010
◽
pp. 1-7
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2010 ◽
Vol 216
(8)
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pp. 2333-2338
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2004 ◽
Vol 20
(2)
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pp. 259-266
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Keyword(s):
2009 ◽
Vol 215
(2)
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pp. 864-865
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Keyword(s):
2008 ◽
Vol 22
(21)
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pp. 2021-2025
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2020 ◽
Vol 13
(10)
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pp. 2691-2701