A Boussinesq model with alleviated nonlinearity and dispersion

DOI10.1007/s10483-008-0708-6zbMath1231.74216OpenAlexW2035722164MaRDI QIDQ940684

Dian-Xin Zhang, Jian-hua Tao

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-0708-6

zbMATH Keywords

Boussinesq equationdispersionnonlinearityimprovement

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Surface waves in solid mechanics (74J15)

Related Items

Solitary waves of Boussinesq equation in a power law media

Cites Work

• Higher–order Boussinesq–type equations for surface gravity waves: derivation and analysis
• A fully nonlinear Boussinesq model for surface waves. Part 2. Extension to O(kh)⁴
• A new Boussinesq method for fully nonlinear waves from shallow to deep water
• A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
• A new approach to high-order Boussinesq models
• Long waves on a beach