Derivation of a Schrödinger-like equation for elastic waves in granular media
✍ Scribed by Leonardo Trujillo; Franklin Peniche; Leonardo Di G. Sigalotti
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 461 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1434-5021
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📜 SIMILAR VOLUMES
Consider herein are the stability of the solitary waves \(e^{-i \omega u s} e^{i \psi(x-t t)} a(x-v t)\) for the following nonlinear quintic derivative Schrödinger equation. \[ u_{t}=i u_{x x}+i\left(c_{3}|u|^{2}+c_{s}|u|^{4}\right) u+\left[\left(s_{0}+s_{2}|u|^{2}\right) u\right]_{v}, \quad u \in
In the paper, with the help of a perturbation expansion method a new higher order nonlinear Schrödinger (HNLS) equation is derived to describe nonlinear modulated Rossby waves in the geophysical fluid. Using this equation, the modulational wave trains are discussed. It is found that the higher order