View source for Unnormalized modified KdV equation

The '''unnormalized modified Korteweg–de Vries (KdV) equation''' is an [[Physics:Integrable system|integrable]] nonlinear partial differential [[Equation|equation]]：<ref>Andrei D. Polyanin, Valentin F. Zaitsev, ''Handbook of Nonlinear Partial Differential Dquations'', second edition p.&nbsp;870 CRC PRESS</ref>
: <math>u_t+u_{xxx}+\alpha u^2 u_x=0 \, </math>

where <math>\alpha</math> is an arbitrary (nonzero) constant. See also [[Korteweg–de Vries equation]].

This is a special case of the [[Gardner equation]].
==References==
<references/>

*Graham W. Griffiths, William E. Shiesser ''Traveling Wave Analysis of Partial Differential Equations'', Academy Press

[[Category:Integrable systems]]



{{Sourceattribution|Unnormalized modified KdV equation}}