Abstract
The instabilities of nonlinear waves with a square-root dispersion ω∼|k| are studied. We present a new type of instability that affects wavelengths of the order of the carrier wave. This instability can initiate the formation of collapses and of narrow pulses.
Original language | English (US) |
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Pages (from-to) | 1260-1263 |
Number of pages | 4 |
Journal | Physics Letters A |
Volume | 377 |
Issue number | 18 |
DOIs | |
State | Published - Aug 1 2013 |
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Keywords
- Benjamin-Feir instability
- Majda-McLaughlin-Tabak equation
- Nonlinear waves
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Wave instability under short-wave amplitude modulations. / Rumpf, Benno; Newell, Alan C.
In: Physics Letters A, Vol. 377, No. 18, 01.08.2013, p. 1260-1263.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Wave instability under short-wave amplitude modulations
AU - Rumpf, Benno
AU - Newell, Alan C
PY - 2013/8/1
Y1 - 2013/8/1
N2 - The instabilities of nonlinear waves with a square-root dispersion ω∼|k| are studied. We present a new type of instability that affects wavelengths of the order of the carrier wave. This instability can initiate the formation of collapses and of narrow pulses.
AB - The instabilities of nonlinear waves with a square-root dispersion ω∼|k| are studied. We present a new type of instability that affects wavelengths of the order of the carrier wave. This instability can initiate the formation of collapses and of narrow pulses.
KW - Benjamin-Feir instability
KW - Majda-McLaughlin-Tabak equation
KW - Nonlinear waves
UR - http://www.scopus.com/inward/record.url?scp=84876131649&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84876131649&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2013.03.015
DO - 10.1016/j.physleta.2013.03.015
M3 - Article
AN - SCOPUS:84876131649
VL - 377
SP - 1260
EP - 1263
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 18
ER -