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On a new modified equation for the (x, t) interchanged KdV equation

✍ Scribed by I. Mukhopadhyay; A. Roy Chowdhury

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
384 KB
Volume
7
Category
Article
ISSN
0960-0779

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✦ Synopsis

We have obtained a new kind of x-t interchanged modified KdV system via a different type of Miura transformation obtained by using the zero curvature formulation in conjunction with Birkhoff factorization and loop algebra decomposition. The Lax pair for this new system is also deduced. The usual x-c interchanged mkdV equation is also deduced as an intermediate step.

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A note on the stability for Kawahara–KdV
A note on the stability for Kawahara–KdV type equations
✍ Fábio Natali 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 301 KB

In this paper we establish the nonlinear stability of solitary traveling-wave solutions for the Kawahara-KdV equation and the modified Kawahara-KdV equation where γ i ∈ R is a positive number when i = 1, 2. The main approach used to determine the stability of solitary traveling waves will be the t