ON THE FLUCTUATIONS OF WATER WAVES GOVERNED BY THE CAMASSA–HOLM AND KdV EQUATIONS IN (1+1)-DIMENSION

DOI10.1142/S0217979209049681zbMath1165.76315OpenAlexW2031308179MaRDI QIDQ5322401

Sam Azadi, A. A. Masoudi, S. Vasheghani Farahani

Publication date: 21 July 2009

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979209049681

zbMATH Keywords

wavesturbulenceprobability density function

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Cites Work

• Unnamed Item
• Unnamed Item
• Acoustic scattering and the extended Korteweg-de Vries hierarchy
• A shallow water equation as a geodesic flow on the Bott-Virasoro group
• Stability of the Camassa-Holm solitons
• Zero tension Kardar-Parisi-Zhang equation in \((d+1)\)-dimensions
• Algebraic Solitary Waves in Stratified Fluids
• Solitary wave solutions of nonlinear wave equations
• Solitary waves in a magnetic flux tube
• On second grade fluids with vanishing viscosity
• A Modern Introduction to the Mathematical Theory of Water Waves
• The Camassa–Holm equation for water waves moving over a shear flow
• An integrable shallow water equation with peaked solitons
• Level crossing analysis of growing surfaces
• Level crossing analysis of Burgers equation in 1 + 1 dimensions
• Internal waves of finite amplitude and permanent form
• Internal waves of permanent form in fluids of great depth
• Mathematical Analysis of Random Noise
• Solitonic structures in KdV-based higher-order systems.

This page was built for publication: ON THE FLUCTUATIONS OF WATER WAVES GOVERNED BY THE CAMASSA–HOLM AND KdV EQUATIONS IN (1+1)-DIMENSION