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Solitary wave evolution for mKdV equations

✍ Scribed by N.F. Smyth; A.L. Worthy

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
987 KB
Volume
21
Category
Article
ISSN
0165-2125

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πŸ“œ SIMILAR VOLUMES

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In this work, a generalized time-dependent variable coefficients combined KdV-mKdV (Gardner) equation arising in plasma physics and ocean dynamics is studied. By means of three amplitude ansatz that possess modified forms to those proposed by Wazwaz in 2007, we have obtained the bell type solitary w

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## Abstract This paper presents a mapping approach for the construction of exact solutions to the combined KdV and mKdV equation. There exist two types of soliton solutions which will reduce back to those of the KdV and mKdV equations in some appropriate limits. Four types of the general cnoidal wa

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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