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Compactons and solitary patterns structures for variants of the KdV and the KP equations

✍ Scribed by A.M. Wazwaz

Book ID
108395635
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
220 KB
Volume
139
Category
Article
ISSN
0096-3003

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πŸ“œ SIMILAR VOLUMES

Nonlinear variants of KdV and KP equatio
Nonlinear variants of KdV and KP equations with compactons, solitons and periodic solutions
✍ Abdul-Majid Wazwaz πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 304 KB

In this paper we study the nonlinear dispersion of new variants of the KdV and the KP equations with positive and negative exponents. The approach stems mainly from the sine-cosine method. The study reveals compactons, solitons, solitary patterns and periodic solutions for these models.

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✍ Abdul-Majid Wazwaz πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 145 KB

In this work we introduce new schemes, each combines two hyperbolic functions, to study the KdV, mKdV, and the generalized KdV equations. It is shown that this class of equations gives conventional solitons and periodic solutions. We also show that the proposed schemes develop sets of entirely new s