scientific article
From MaRDI portal
Publication:3914623
zbMath0463.76026MaRDI QIDQ3914623
Publication date: 1980
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
stratificationrotationBibliographycompressibilityshearsoliton interactionKdV equationshomogeneous, nonrotating liquid of finite depth
Solitary waves for incompressible inviscid fluids (76B25) Partial differential equations of mathematical physics and other areas of application (35Q99) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)
Related Items
Free surface waves in equilibrium with a vortex, On the dissipative Boussinesq equation in a non-cylindrical domain, Automatic algorithm for the numerical inverse scattering transform of the Korteweg-de Vries equation, Theory of non-propagation solitons including surface-tension effects, On the particle paths in solitary water waves, Comparative analysis of bore propagation over long distances using conventional linear and KdV-based nonlinear Fourier transform, High-order strongly nonlinear long wave approximation and solitary wave solution, A unified intrinsic functional expansion theory for solitary waves, On solitary waves. II: A unified perturbation theory for higher-order waves, Internal solitary waves generated by a moving bottom disturbance, Symmetries, solutions and conservation laws of a class of nonlinear dispersive wave equations, Experimental and numerical studies on internal solitary waves with a free surface, Reflection of interface solitary waves at a slope, Computational synergetics and mathematical innovation, Solution of the scalar wave equation over very long distances using nonlinear solitary waves: relation to finite difference methods, Instability of the stationary solutions of generalized dissipative Boussinesq equation., Complexification of wave numbers in solitons, Application of the method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg-de Vries equation and generalized Camassa-Holm equation, A formal expansion procedure for the internal solitary wave problem in a two-fluid system of constant topography, Numerical simulation of ship-borne waves using a 2DH post-Boussinesq model, Head-on collision between two mKdV solitary waves in a two-layer fluid system, Phase velocity spectrum of internal waves in a weakly-stratified two-layer fluid, On the spatially two-dimensional Boussinesq equation in a circular domain, Unnamed Item, Nonexistence of subcritical solitary waves, Solitary waves perturbed by a broad sill. Part 2. Propagation along the sill, Solitons, cnoidal waves and nonlinear interactions in shallow-water ocean surface waves, Irrotational water waves and the complex Korteweg-de Vries equation, Non-modal stability analysis of the boundary layer under solitary waves, Traveling water waves: Spectral continuation methods with parallel implementation, Existence, nonexistence, and asymptotics of deep water solitary waves with localized vorticity, Weak oblique collisions of interfacial solitary waves, Asymptotic, Convergent, and Exact Truncating Series Solutions of the Linear Shallow Water Equations for Channels with Power Law Geometry, Quasi-periodic waves and quasi-solitary waves in stratified fluid of slowly varying depth, Nonlinear Fourier analysis for the infinite-interval Korteweg-de Vries equation. I: An algorithm for the direct scattering transform, A note on the series solution of the solitary wave problem, The generalized Boussinesq equations and obliquely interacting solitary waves in a stratified fluid, On the development of the theory of the solitary wave. A historical essay, The inverse scattering transform: tools for the nonlinear Fourier analysis and filtering of ocean surface waves.