On Peaked Periodic Waves to the Nonlinear Surface Wind Waves Equation

• Published in: Reports on mathematical physics Vol. 81; no. 2; pp. 233 - 242
• Main Authors: Bo, Jiang, Zhou, Youming, Feng, Liu
• Format: Journal Article
• Language: English
• 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

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...