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The tanh and the sine–cosine methods for a reliable treatment of the modified equal width equation and its variants

✍ Scribed by Abdul-Majid Wazwaz

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
354 KB
Volume
11
Category
Article
ISSN
1007-5704

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✦ Synopsis

The modified equal width equation and two of its variants are investigated. The strategy here rests mainly on a sine-cosine ansatz and the tanh method. Both schemes work well and reveal exact solutions with distinct physical structures. The obtained solutions include compactons, solitons, solitary patterns, and periodic solutions.

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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 powe