𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Dynamics of wave packets in the frame of third-order nonlinear Schrödinger equation

✍ Scribed by E.M. Gromov; L.V. Piskunova; V.V. Tyutin


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
141 KB
Volume
256
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

✦ Synopsis


Dynamics of wave packets described by the third-order nonlinear Schrodinger equation is considered employing numerical methods. It is shown that initial pulse tends to one or a few solitons plus a linear quasi-periodic wave under the condition of the same signs of parameters of the third-order linear dispersion and nonlinear dispersion. The number and parameters of the solitons depend on the magnitudes of both initial pulse parameters and parameters of the equation.


📜 SIMILAR VOLUMES


Derivation of a higher order nonlinear S
✍ Dehai Luo 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 129 KB

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

Nonlinear Schrödinger Equations in the S
✍ M Nakamura; T Ozawa 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 310 KB

The Cauchy problem for the nonlinear Schro dinger equations is considered in the Sobolev space H nÂ2 (R n ) of critical order nÂ2, where the embedding into L (R n ) breaks down and any power behavior of interaction works as a subcritical nonlinearity. Under the interaction of exponential type the ex