in order to examine the effects of essential oils and silver nanoparticles as anantimicrobial preservative in the solutions of alstroemeri cv. sukari cut flowers, anexperiment was conducted with 11 treatments and 3 replications in a completelyrandomized design. in this study, we used essences of carvacrol, thymol and zataria oilwithconcentrations of 50 and 100 mg l-1 and silver nanoparticles wi...

We show that Whitham type equations u_t + u u_x -L = 0, where L is a general Fourier multiplier operator of order \alpha \in [-1,1], \alpha\neq allow for small solutions to be extended beyond their expected existence time. The result valid range quadratic dispersive with inhomogeneous symbols in the given by \alpha, and should extendable other same relative strength.