In most of the studies concerning nonlinear wave equations Korteweg-de Vries type, authors focus on waves elevation. Such have general form ~$u_{\text{u}}(x,t)=A f(x-vt)$, where ~$A>0$. this communication we show that if ~$u_{\text{up}}(x,t)=A f(x-vt)$ is solution a given equation, then $u_{\text{down}}(x,t)=-A is, an inverted same but with changed sign parameter ~$\alpha$. This property common...

We search for a Gardner transition in glassy glycerol, standard molecular glass, measuring the third harmonics cubic susceptibility ${\ensuremath{\chi}}_{3}^{(3)}$ from slightly below usual glass temperature down to 10 K. According mean-field picture, if local motion within were becoming highly correlated due emergence of phase then ${\ensuremath{\chi}}_{3}^{(3)}$, which is analogous dynamical ...