nLab Korteweg de Vries equation




The Korteweg de Vries equation is a differential equation, a particular nonlinear variant of a wave equation:

u t=(3u 2+u xx) x u_t = (3u^2 + u_{xx})_x

This is one of the main examples in the study of integrable systems.


  • M. Adler, On a trace functional for formal pseudo differential operators and the symplectic structure of the Korteweg de Vries type equations, Invent. Math. 50 (1978/79), no. 3, 219–248, MR520927

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