STABILIZATION OF SOLITON INSTABILITIES BY HIGHER-ORDER DISPERSION - 4TH-ORDER NONLINEAR SCHRODINGER-TYPE EQUATIONS

Authors
KARPMAN VI
Citation
Vi. Karpman, STABILIZATION OF SOLITON INSTABILITIES BY HIGHER-ORDER DISPERSION - 4TH-ORDER NONLINEAR SCHRODINGER-TYPE EQUATIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(2), 1996, pp. 1336-1339
Citations number
17
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
53
Issue
2
Year of publication
1996
Pages
1336 - 1339
Database
ISI
SICI code
1063-651X(1996)53:2<1336:SOSIBH>2.0.ZU;2-W
Abstract
Stability of the soliton solutions to the fourth-order nonlinear Schro dinger equations with arbitrary power nonlinearities in different spac e dimensions is studied. Necessary and sufficient conditions of the st ability with respect to small perturbations are found. The results obt ained represent also necessary conditions of the stabilization of self -focusing and collapse by high-order dispersion.