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Pade approximants and closed form solutions of the KdV and MKdV equations

✍ Scribed by F. Lambert

Book ID: 112564593
Publisher: Springer
Year: 1980
Tongue: English
Weight: 248 KB
Volume: 5
Category: Article
ISSN: 0170-9739
DOI: 10.1007/bf01576195

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## Abstract This paper presents two different methods for the construction of exact solutions to the combined KdV and mKdV equation. The first method is a direct one based on a general form of solution to both the KdV and the modified KdV (mKdV) equations. The second method is a leading order analy

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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