On peaked periodic waves to the nonlinear surface wind waves equation

DOI10.1016/S0034-4877(18)30039-9zbMath1402.35240OpenAlexW2800058367MaRDI QIDQ1626308

Youming Zhou, Liu Feng, Jiang Bo

Publication date: 27 November 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(18)30039-9

zbMATH Keywords

periodic wavequalitative analysisnonlinear surface wind waves equationpeaked wave

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Surface waves in solid mechanics (74J15)

Cites Work

• Unnamed Item
• Bifurcation of traveling wave solutions for the BBM-like \(B(2, 2)\) equation
• Bifurcations of traveling wave solutions from KdV equation to Camassa-Holm equation
• Solitons, peakons and periodic cusp wave solutions for the Fornberg-Whitham equation
• Peakons and coshoidal waves: Traveling wave solutions of the Camassa-Holm equation
• Peaked wave solutions of Camassa-Holm equation
• Traveling wave solutions of the Degasperis-Procesi equation
• Exact peaked wave solution of CH-\(\gamma \) equation by the first-integral method
• Traveling surface waves of moderate amplitude in shallow water
• Explicit solutions of the Camassa-Holm equation
• Traveling wave solutions of the Camassa-Holm equation
• Bifurcations and exact solutions for a nonlinear surface wind waves equation
• Peakon and cuspon as collective excitations in nonlinear dynamics of DNA
• An integrable shallow water equation with peaked solitons
• Remark on peakon solution to the nonlinear surface wind waves equation
• Asymptotic dynamics of monochromatic short surface wind waves
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation
• Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods.