Finite energy wave signals of extremal amplitude in the spatial NLS-dynamics

Embrecht W.C. van Groesen; A. Andonowati

doi:10.1016/j.physleta.2006.04.021

Finite energy wave signals of extremal amplitude in the spatial NLS-dynamics

Embrecht W.C. van Groesen, A. Andonowati

Research output: Contribution to journal › Article › Academic › peer-review

7 Citations (Scopus)

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Abstract

With the aim to find extremal properties of extreme waves, we consider waves of maximal crest (and wave) height in the model of the spatial NLS-dynamics. Using the two motion invariants momentum and Hamiltonian as constraints, we show that so-called cornered solitons provide the maximal crest heights for most pairs of feasible constraint values. At the boundary of the feasible set the well-known smooth solitons are found. We discuss the implications for the solutions of NLS evolving from an initial signal.

Original language	Undefined
Pages (from-to)	86-91
Number of pages	6
Journal	Physics letters A
Volume	357
Issue number	500-266/2
DOIs	https://doi.org/10.1016/j.physleta.2006.04.021
Publication status	Published - 4 Sept 2006

Keywords

IR-57747
Extreme waves Soliton Extremal properties NLS equation
METIS-237840
Soliton
Extreme waves
Extremal properties
EWI-8862
NLS equation

Access to Document

10.1016/j.physleta.2006.04.021

http://eprints.eemcs.utwente.nl/secure2/8862/01/groesen_Finite_engergy_wave_signals_article.pdf

Cite this

@article{6f7cfc3a769c42b48ff00473846bbfcc,

title = "Finite energy wave signals of extremal amplitude in the spatial NLS-dynamics",

abstract = "With the aim to find extremal properties of extreme waves, we consider waves of maximal crest (and wave) height in the model of the spatial NLS-dynamics. Using the two motion invariants momentum and Hamiltonian as constraints, we show that so-called cornered solitons provide the maximal crest heights for most pairs of feasible constraint values. At the boundary of the feasible set the well-known smooth solitons are found. We discuss the implications for the solutions of NLS evolving from an initial signal.",

keywords = "IR-57747, Extreme waves Soliton Extremal properties NLS equation, METIS-237840, Soliton, Extreme waves, Extremal properties, EWI-8862, NLS equation",

author = "\{van Groesen\}, \{Embrecht W.C.\} and A. Andonowati",

note = "10.1016/j.physleta.2006.04.021 ",

year = "2006",

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doi = "10.1016/j.physleta.2006.04.021",

language = "Undefined",

volume = "357",

pages = "86--91",

journal = "Physics letters A",

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T1 - Finite energy wave signals of extremal amplitude in the spatial NLS-dynamics

AU - van Groesen, Embrecht W.C.

AU - Andonowati, A.

N1 - 10.1016/j.physleta.2006.04.021

PY - 2006/9/4

Y1 - 2006/9/4

N2 - With the aim to find extremal properties of extreme waves, we consider waves of maximal crest (and wave) height in the model of the spatial NLS-dynamics. Using the two motion invariants momentum and Hamiltonian as constraints, we show that so-called cornered solitons provide the maximal crest heights for most pairs of feasible constraint values. At the boundary of the feasible set the well-known smooth solitons are found. We discuss the implications for the solutions of NLS evolving from an initial signal.

AB - With the aim to find extremal properties of extreme waves, we consider waves of maximal crest (and wave) height in the model of the spatial NLS-dynamics. Using the two motion invariants momentum and Hamiltonian as constraints, we show that so-called cornered solitons provide the maximal crest heights for most pairs of feasible constraint values. At the boundary of the feasible set the well-known smooth solitons are found. We discuss the implications for the solutions of NLS evolving from an initial signal.

KW - IR-57747

KW - Extreme waves Soliton Extremal properties NLS equation

KW - METIS-237840

KW - Soliton

KW - Extreme waves

KW - Extremal properties

KW - EWI-8862

KW - NLS equation

U2 - 10.1016/j.physleta.2006.04.021

DO - 10.1016/j.physleta.2006.04.021

M3 - Article

SN - 0375-9601

VL - 357

SP - 86

EP - 91

JO - Physics letters A

JF - Physics letters A

IS - 500-266/2

ER -