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20042024
most citedOn the modulational stability of Gross-Pitaevskii type equations in 1+1 dimensions

161 citations · 533 across the 23 of their papers we have counts for

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9 papers · 1 filter

cond-mat.soft2006★ 40 cited

Healing Length and Bubble Formation in DNA

Z. Rapti, A. Smerzi, K. O. Rasmussen +3

We have recently suggested that the probability for the formation of thermally activated DNA bubbles is, to a very good approximation, proportional to the number of soft AT pairs o…

cond-mat.soft2005★ 32 cited

Lengthscales and Cooperativity in DNA Bubble Formation

Z. Rapti, A. Smerzi, K. Ø. Rasmussen +1

It appears that thermally activated DNA bubbles of different sizes play central roles in important genetic processes. Here we show that the probability for the formation of such bu…

cond-mat.soft2004★ 17 cited

Modulational Instabilities and Domain Walls in Coupled Discrete Nonlinear Schrödinger Equations

Z. Rapti, A. Trombettoni, P. G. Kevrekidis +3

We consider a system of two discrete nonlinear Schrödinger equations, coupled by nonlinear and linear terms. For various physically relevant cases, we derive a modulational instabi…

cond-mat.soft2004★ 20 cited

Modulational Instability in Bose-Einstein Condensates under Feshbach Resonance Management

Z. Rapti, G. Theocharis, P. G. Kevrekidis +1

We investigate the modulational instability of nonlinear Schr{ö}dinger equations with periodic variation of their coefficients. In particular, we focus on the case of the recently…

cond-mat.soft2004★ 161 cited

On the modulational stability of Gross-Pitaevskii type equations in 1+1 dimensions

G. Theocharis, Z. Rapti, P. G. Kevrekidis +2

The modulational stability of the nonlinear Schr{ö}dinger (NLS) equation is examined in the case with a quadratic external potential. This study is motivated by recent experimental…

cond-mat.soft2004★ 37 cited

Variational Approach to the Modulational Instability

Z. Rapti, P. G. Kevrekidis, A. Smerzi +1

We study the modulational stability of the nonlinear Schrödinger equation (NLS) using a time-dependent variational approach. Within this framework, we derive ordinary differential…