期刊
MATHEMATICAL PROBLEMS IN ENGINEERING
卷 2010, 期 -, 页码 -出版社
HINDAWI LTD
DOI: 10.1155/2010/194329
关键词
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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.
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