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

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Groesen van, E. and Andonowati (2006) Finite energy wave signals of extremal amplitude in the spatial NLS-dynamics. Physics Letters A, 357 (2). pp. 86-91. ISSN 0375-9601

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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.
Item Type:Article
Copyright:© 2006 Elsevier
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/57747
Official URL:http://dx.doi.org/10.1016/j.physleta.2006.04.021
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Metis ID: 237840