We study linear instability of solitary wave solutions of a one-dimensional generalized Benney-Luke equation, which is a formally valid approximation for describing two-way water wave propagation in the presence of surface tension. Further, we implement a finite difference numerical scheme which com
Stability and instability of solitary waves for generalized symmetric regularized-long-wave equations
โ Scribed by Chen Lin
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 610 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0167-2789
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โฆ Synopsis
This paper studies the orbital stability and instability of solitary wave solutions of the generalized symmetric regularizedlong-wave equations. It is shown that a traveling wave may be stable or unstable depending on the nonlinearity and the range of the wave's speed of propagation. Sharp conditions of that effect are given.
๐ SIMILAR VOLUMES
## Abstract The unique continuation property has been intensively studied for a long time due to the important role that plays in the applications. The validity of the unique continuation property for symmetric regularized long wave equation is showed in this paper. The result is established by usi
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