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10 de ago. de 2018 · The Kadomtsev-Petviashvili equation (or simply the KP equation) is a nonlinear partial differential equation in two spatial and one temporal coordinate which describes the evolution of nonlinear, long waves of small amplitude with slow dependence on the transverse coordinate.
8 de dic. de 2013 · The KdV-Burgers equation, which incorporates weak dissipation, was studied in (Gurevich, Pitaevskii 1987). Comparison of a perturbed KdV equation with shallow water undular bore formation on the Australian North West Shelf was performed in (Smyth, Holloway 1988).
12 de jul. de 2018 · The KdV equation arises in the long-wavelength limit, and shallow-water solitary waves have been the subject of numerous laboratory experiments. Solitary waves also arise in deep water, as shown by the pioneering work of Vladimir Zakharov who derived an envelope wave description whose limiting case satisfies an NLS equation (Zakharov ...
La ecuación de Korteweg-de Vries o KdV es una ecuación en derivadas parciales que incluye efectos de no linealidad y dispersión a la vez. Físicamente es un modelo que describe, en una dimensión espacial, la propagación de ondas de longitud de onda larga en medios dispersivos.
20 de abr. de 2006 · The Korteweg-de Vries (KdV) equation, usually attributed to Korteweg & de Vries (1895), governs the propagation of weakly dispersive, weakly nonlinear water waves and serves as a model equation for any physical system for which the dispersion relation for frequency vs. wavenumber is approximated by ω/ k = c0 (1 − β k2) and ...
- John W. Miles
- 1981
In mathematics, the Korteweg–De Vries (KdV) equation is a partial differential equation (PDE) which serves as a mathematical model of waves on shallow water surfaces.
Differential Equation (PDE) of third order have been of some interest already since 150 years. The author’s aim is to present an analytical exact result to the KdV equation by means of elementary operations as well as by using Bäcklund transform.
