Hydrodynamic supercontinuum

Enthalten in
Physical review letters 
Volume
111
Issue
5
Article Number
054104
Citation
Physical Review Letters 111 (5): 054104 (2013)
Publisher DOI
10.1103/PhysRevLett.111.054104
Scopus ID
2-s2.0-84881499410
Publisher
American Physical Society
We report the experimental observation of multi-bound-soliton solutions of the nonlinear Schrödinger equation (NLS) in the context of hydrodynamic surface gravity waves. Higher-order N-soliton solutions with N=2, 3 are studied in detail and shown to be associated with self-focusing in the wave group dynamics and the generation of a steep localized carrier wave underneath the group envelope. We also show that for larger input soliton numbers, the wave group experiences irreversible spectral broadening, which we refer to as a hydrodynamic supercontinuum by analogy with optics. This process is shown to be associated with the fission of the initial multisoliton into individual fundamental solitons due to higher-order nonlinear perturbations to the NLS. Numerical simulations using an extended NLS model described by the modified nonlinear Schrödinger equation, show excellent agreement with experiment and highlight the universal role that higher-order nonlinear perturbations to the NLS play in supercontinuum generation. © 2013 American Physical Society.
DDC Class
530: Physik
600: Technik
Funding Organisations
VolkswagenStiftung
Alexander von Humboldt-Stiftung 
More Funding Information
N. H. and N. A. acknowledge the support of the Volkswagen Stiftung. M. O. was supported by the EU,
Project EXTREME SEAS (SCP8-GA-2009-234175) and ONR Grant No. N000141010991. M. O. acknowledges
Dr. B. Giulinico for interesting discussions. G. G. acknowledges the Academy of Finland (Grants No. 130099 and
No. 132279). J. M. D. is supported by the ERC Project MULTIWAVE. N. A. acknowledges partial support of
the Australian Research Council (Discovery Project No. DP110102068). N. A. acknowledges support from
the Alexander von Humboldt Foundation.
Publication version
publishedVersion
Lizenz
http://rightsstatements.org/vocab/InC/1.0/
Publisher‘s Creditline
To cite this version: A. Chabchoub, N. Hoffmann, M. Onorato, G. Genty, J. M. Dudley, and N. Akhmediev. Hydrodynamic Supercontinuum. Physical Review Letters, American Physical Society, 2013, 111 (5), pp. 054104. 10.1103/PhysRevLett.111.054104
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