𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the hierarchies of higher order mKdV and KdV equations

✍ Scribed by Axel Grünrock

Book ID
111488591
Publisher
SP Versita
Year
2010
Tongue
English
Weight
634 KB
Volume
8
Category
Article
ISSN
1895-1074

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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

New sets of solitary wave solutions to t
New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations
✍ Abdul-Majid Wazwaz 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 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