BREATHER SOLUTIONS TO THE FOCUSING NONLINEAR SCHRODINGER-EQUATION

Authors
TAJIRI M WATANABE Y
Citation
M. Tajiri et Y. Watanabe, BREATHER SOLUTIONS TO THE FOCUSING NONLINEAR SCHRODINGER-EQUATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(3), 1998, pp. 3510-3519
Citations number
22
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
57
Issue
3
Year of publication
1998
Part
B
Pages
3510 - 3519
Database
ISI
SICI code
1063-651X(1998)57:3<3510:BSTTFN>2.0.ZU;2-5
Abstract
The N-breather solution to the focusing nonlinear Schrodinger equation is presented. It is shown that the breather is linearly unstable, but the unstable modes are overstabilized and do not destroy the structur e of the breather. It is also demonstrated that the breather solution can be constructed as an imbricate series of rational growing-and-deca ying modes.