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Constants of motion for the KdV and mKdV equations

✍ Scribed by Márcia T. Fontenelle; Jason A.C. Gallas

Book ID
107745379
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
458 KB
Volume
60
Category
Article
ISSN
0010-4655

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📜 SIMILAR VOLUMES

Exact solutions to the combined KdV and
Exact solutions to the combined KdV and mKdV equation
✍ M. N. B. Mohamad 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 258 KB

## 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

On the hierarchies of higher order mKdV
On the hierarchies of higher order mKdV and KdV equations
✍ Axel Grünrock 📂 Article 📅 2010 🏛 SP Versita 🌐 English ⚖ 634 KB

The Cauchy problem for the higher order equations in the mKdV hierarchy is investigated with data in the spaces H (R) defined by the norm Local well-posedness for the th equation is shown in the parameter range 2 ≥ > 1, ≥ 2 -1 2 . The proof uses an appropriate variant of the Fourier restriction nor