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- W11738861 abstract "In 1895, Diederik Johannes Korteweg together with his Ph.D student, Gustav de Vries, derived analytically a nonlinear partial differential equation, well known now as the “KdV equation.” The KdV equation is used to model the disturbance of the surface of shallow water in the presence of solitary waves. The KdV equation is a generic model for the study of weakly nonlinear long waves, incorporating leading order nonlinearity and dispersion. Also, it describes surface waves of long wavelength and small amplitude on shallow water. The KdV equation in its simplest form is given by ut + auux + uxxx = 0. This equation incorporates two competing effects: nonlinearity represented by uux and linear dispersion represented by uxxx. Nonlinearity tends to localize the wave while dispersion spreads it out. The balance between these two weak nonlinearity and dispersion explains the formulation of solitons that consist of single humped waves. The equilibrium between these two effects is stable." @default.
- W11738861 created "2016-06-24" @default.
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- W11738861 date "2008-01-01" @default.
- W11738861 modified "2023-10-17" @default.
- W11738861 title "Chapter 9 The KdV Equation" @default.
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- W11738861 cites W1968545731 @default.
- W11738861 cites W1969711311 @default.
- W11738861 cites W1971369979 @default.
- W11738861 cites W1979722387 @default.
- W11738861 cites W1983143667 @default.
- W11738861 cites W1986788497 @default.
- W11738861 cites W1988923030 @default.
- W11738861 cites W1989760690 @default.
- W11738861 cites W1990720130 @default.
- W11738861 cites W1990902908 @default.
- W11738861 cites W1997279666 @default.
- W11738861 cites W1997425349 @default.
- W11738861 cites W1997982711 @default.
- W11738861 cites W1998920099 @default.
- W11738861 cites W2000491817 @default.
- W11738861 cites W2001983765 @default.
- W11738861 cites W2006204099 @default.
- W11738861 cites W2010375678 @default.
- W11738861 cites W2014897843 @default.
- W11738861 cites W2017812896 @default.
- W11738861 cites W2018061171 @default.
- W11738861 cites W2021898534 @default.
- W11738861 cites W2025559654 @default.
- W11738861 cites W2026031976 @default.
- W11738861 cites W2027200609 @default.
- W11738861 cites W2027595215 @default.
- W11738861 cites W2028044965 @default.
- W11738861 cites W2033611267 @default.
- W11738861 cites W2035090140 @default.
- W11738861 cites W2035795093 @default.
- W11738861 cites W2038260434 @default.
- W11738861 cites W2038311057 @default.
- W11738861 cites W2039131077 @default.
- W11738861 cites W2041483435 @default.
- W11738861 cites W2042970889 @default.
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- W11738861 cites W294519166 @default.
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- W11738861 doi "https://doi.org/10.1016/s1874-5717(08)00009-1" @default.
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