We consider the existence of a dynamically stable soliton in the one-dimensional cubic-quintic nonlinear Schrödinger model with strong cubic nonlinearity management for periodic and random modulations. We show that the predictions of the averaged cubic-quintic nonlinear Schrödinger (NLS) equation and modified variational approach for the arrest of collapse coincide. The analytical results are c...

We consider two types of strongly localized modes in discrete nonlinear lattices. Taking the lattice nonlinear Schrodinger (NLS) equation as a particular but rather fundamental example, we show that (1) the discreteness effects may be understood in the "standard" discrete NLS model as arising from an effective periodic potential similar to the Peierls-Nabarro (PN) barrier potential for kinks in...

revolution theoreticians have declared contending and approximately incompatible theories, caused in bewilderment among concerned field enthusiasts. as a result, some have intended to categorize these theories till reduce bewilderment, and make them easier to study. one of these theoreticians is jack goldstone who at first categorized theories of revolution into three generations. but after the...