Solitary wave interaction in a compact equation for deep-water gravity waves

F. Fedele; D. Dutykh

doi:10.1134/S0021364012120041

Solitary wave interaction in a compact equation for deep-water gravity waves

F. Fedele, D. Dutykh

Mathematics

School of Electrical and Computer Engineering

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

12 Scopus citations

Abstract

We compute numerical traveling wave solutions to a compact version of the Zakharov equation for unidirectional deep-water waves recently derived by Dyachenko and Zakharov [1]. Furthermore, by means of an accurate Fourier-type spectral scheme we find that solitary waves appear to collide elastically, suggesting the integrability of the Zakharov equation.

Original language	British English
Pages (from-to)	622-625
Number of pages	4
Journal	JETP Letters
Volume	95
Issue number	12
DOIs	https://doi.org/10.1134/S0021364012120041
State	Published - Aug 2012

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title = "Solitary wave interaction in a compact equation for deep-water gravity waves",

abstract = "We compute numerical traveling wave solutions to a compact version of the Zakharov equation for unidirectional deep-water waves recently derived by Dyachenko and Zakharov [1]. Furthermore, by means of an accurate Fourier-type spectral scheme we find that solitary waves appear to collide elastically, suggesting the integrability of the Zakharov equation.",

author = "F. Fedele and D. Dutykh",

note = "Funding Information: Dutykh acknowledges the support from French Agence Nationale de la Recherche, project MathOc{\'e}an (grant no. ANR 08 BLAN 0301 01).",

year = "2012",

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doi = "10.1134/S0021364012120041",

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AU - Fedele, F.

AU - Dutykh, D.

N1 - Funding Information: Dutykh acknowledges the support from French Agence Nationale de la Recherche, project MathOcéan (grant no. ANR 08 BLAN 0301 01).

PY - 2012/8

Y1 - 2012/8

N2 - We compute numerical traveling wave solutions to a compact version of the Zakharov equation for unidirectional deep-water waves recently derived by Dyachenko and Zakharov [1]. Furthermore, by means of an accurate Fourier-type spectral scheme we find that solitary waves appear to collide elastically, suggesting the integrability of the Zakharov equation.

AB - We compute numerical traveling wave solutions to a compact version of the Zakharov equation for unidirectional deep-water waves recently derived by Dyachenko and Zakharov [1]. Furthermore, by means of an accurate Fourier-type spectral scheme we find that solitary waves appear to collide elastically, suggesting the integrability of the Zakharov equation.

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U2 - 10.1134/S0021364012120041

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VL - 95

SP - 622

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JO - JETP Letters

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Solitary wave interaction in a compact equation for deep-water gravity waves

Abstract

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