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The tanh and the sine-cosine methods for the complex modified K dV and the generalized K dV equations

✍ Scribed by A.-M. Wazwaz

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
548 KB
Volume
49
Category
Article
ISSN
0898-1221

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✦ Synopsis

The complex modified K dV (CMK dV) equation and the generalized K dV equation are investigated by using the tanh method and the sine-cosine method. A variety of exact travelling wave solutions with compact and noncompact structures are formally obtained for each equation.

The study reveals the power of the two schemes where each method complements the other. (~ 2005 Elsevier Ltd. All rights reserved.

Keywords--Complex modified K dV equation, Modified K dV equation, Compactons, Kink solitons, Periodic solutions, Tanh method, Sine-cosine method.

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