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Generalized Korteweg–de Vries equation
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Generalized Korteweg–de Vries equation : ウィキペディア英語版
Generalized Korteweg–de Vries equation

In mathematics a generalized Korteweg–de Vries equation is the nonlinear partial differential equation
:\partial_t u + \partial_x^3 u + \partial_x f(u) = 0.\,
The function ''f''
is sometimes taken to be ''f''(''u'') = ''u''''k''+1/(''k''+1) + ''u'' for some positive integer ''k'' (where the extra ''u'' is a "drift term" that makes the analysis a little easier). The case ''f''(''u'') = 3''u''2 is the original
Korteweg–de Vries equation.
==References==

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