Kotlyarov, V.; Minakov, A.
(Журнал математической физики, анализа, геометрии, 2012)
The modified Korteveg{de Vries equation on the line is considered. The initial function is a discontinuous and piece-wise constant step function, i.e. q(x, 0) = cr for x ≥ 0 and q(x, 0) = cl for x < 0, where cl, cr are ...