Effect of Nonlinear Gradient Terms on Breathing Localized Solutions in the Quintic Complex Ginzburg-Landau Equation

Journal Article · Sat Oct 31 23:00:00 EST 1998 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.81.3856· OSTI ID:663750

Deissler, R J; Brand, H R ^[1]; Deissler, R J ^[2]; Brand, H R ^[3]

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1. Center for Nonlinear Studies, MS-B 258, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545 (United States)
2. Innovative Technologies, 4540 W. 213 Street, Fairview Park, Ohio 44126 (United States)
3. Theoretische Physik III, Universitaet Bayreuth, D95440 Bayreuth (Germany)

We study the effect of nonlinear gradient terms on breathing localized solutions in the complex Ginzburg-Landau equation. It is found that even small nonlinear gradient terms{emdash}which appear at the same order as the quintic term{emdash}can cause dramatic changes in the behavior of the solution, such as causing opposite sides of an otherwise monoperiodic symmetrically breathing solution to breathe at different frequencies, thus causing the solution to breathe periodically or chaotically on only one side or the solution to rapidly spread. {copyright} {ital 1998} {ital The American Physical Society }

• OSTI ID: 663750
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 18 Vol. 81; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 GENERAL AND MISCELLANEOUS
BIFURCATION
GINZBURG-LANDAU THEORY
PARTIAL DIFFERENTIAL EQUATIONS
SOLITONS
TIME-SERIES ANALYSIS
WAVE EQUATIONS