On Peaked Periodic Waves to the Nonlinear Surface Wind Waves Equation

We present a weak formulation of the nonlinear surface wind waves equation in the sense that the existence of peaked periodic waves as weak solutions is established by employing qualitative analysis for differential equations. Based on the theoretic results, we also present all possible exact explic...

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Bibliographic Details
Published inReports on mathematical physics Vol. 81; no. 2; pp. 233 - 242
Main Authors Bo, Jiang, Zhou, Youming, Feng, Liu
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.04.2018
Subjects
nonlinear surface wind waves equation
peaked wave
periodic wave
qualitative analysis
peaked wave
periodic wave
nonlinear surface wind waves equation
qualitative analysis
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Summary:We present a weak formulation of the nonlinear surface wind waves equation in the sense that the existence of peaked periodic waves as weak solutions is established by employing qualitative analysis for differential equations. Based on the theoretic results, we also present all possible exact explicit expressions of peaked periodic waves.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(18)30039-9