LYAPUNOV APPROACH TO THE SOLITON STABILITY IN HIGHLY DISPERSIVE SYSTEMS .1. 4TH-ORDER NONLINEAR SCHRODINGER-EQUATIONS

Authors
KARPMAN VI
Citation
Vi. Karpman, LYAPUNOV APPROACH TO THE SOLITON STABILITY IN HIGHLY DISPERSIVE SYSTEMS .1. 4TH-ORDER NONLINEAR SCHRODINGER-EQUATIONS, Physics letters. A, 215(5-6), 1996, pp. 254-256
Citations number
15
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
215
Issue
5-6
Year of publication
1996
Pages
254 - 256
Database
ISI
SICI code
0375-9601(1996)215:5-6<254:LATTSS>2.0.ZU;2-F
Abstract
The stability of solitons, described by fourth order nonlinear Schrodi nger equations with arbitrary power nonlinearities, is studied by mean s of the Lyapunov approach. From the results obtained it follows that the solitons are stable at pD < 4, where p is the power of nonlinearit y and D is the number of space dimensions.