A unified intrinsic functional expansion theory for solitary waves

DOI10.1007/s10409-004-0001-yzbMath1200.76037OpenAlexW2091433276MaRDI QIDQ608555

John Kao, Jin E. Zhang, Theodore Yao-Tsu Wu

Publication date: 25 November 2010

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: http://dspace.imech.ac.cn/handle/311007/55156

zbMATH Keywords

exact solutionshigh-accuracy computation of waves of arbitrary heightmass and energy transfersolitary waves on waterunified intrinsic functional expansion theory

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Solitary waves for incompressible inviscid fluids (76B25)

Related Items

On the generalized Cauchy function and new conjecture on its exterior singularities ⋮ Numerical use of exterior singularities for computation of gravity waves in shallow water ⋮ On solitary waves. II: A unified perturbation theory for higher-order waves ⋮ Nonlinear excitations and ``peakons of a (2+1)-dimensional generalized Broer-Kaup system ⋮ On tsunami and the regularized solitary-wave theory ⋮ High-Order Davies' Approximation for a Solitary Wave Solution in Packham's Complex Plane ⋮ A new method of convergence acceleration of series expansion for analytic functions in the complex domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Accurate computations for steep solitary waves
• The second approximation to cnoidal and solitary waves
• The stability of solitary waves
• The stability of steep gravity waves. Part 2
• Limiting gravity waves in water of finite depth
• On the mass, momentum, energy and circulation of a solitary wave
• On the mass, momentum, energy and circulation of a solitary wave. II
• On the speed and profile of steep solitary waves
• Theory of the almost-highest wave: the inner solution
• Theory of the almost-highest wave. Part 2. Matching and analytic extension
• Asymptotic theory for the almost-highest solitary wave
• On the Highest and Other Solitary Waves
• The singularity at the crest of a finite amplitude progressive Stokes wave
• Computations of Steep Gravity Waves by a Refinement of Davies–Tulin’s Approximation
• The solitary wave of maximum amplitude
• An integral equation for unsteady surface waves and a comment on the Boussinesq equation
• A ninth-order solution for the solitary wave
• The existence of solitary waves