Mark J. Ablowitz

most citedSoliton strings and interactions in mode-locked lasers

17 citations · 18 across the 3 of their papers we have counts for

collaborators

3 papers

physics.optics2009★ 17 cited

Soliton strings and interactions in mode-locked lasers

Mark J. Ablowitz, Theodoros P. Horikis, Sean D. Nixon

Soliton strings in mode-locked lasers are obtained using a variant of the nonlinear Schrodinger equation, appropriately modified to model power (intensity) and energy saturation. T…

nlin.SI2009★ 1 cited

Parameterizations of the Chazy equation

Sarbarish Chakravarty, Mark J Ablowitz

The Chazy equation $y^{'''} = 2 y y^{''} - 3 y^{'2}$ is derived from the automorphic properties of Schwarz triangle functions $S (α, β, γ; z)$ . It is shown that solutions $y$ which are analyti…

math.NT2006

Integrable systems and modular forms of level 2

Mark J Ablowitz, Sarbarsh Chakravarty, Heekyoung Hahn

A set of nonlinear differential equations associated with the Eisenstein series of the congruent subgroup $Γ_{0} (2)$ of the modular group $S L_{2} (Z)$ is constructed. These non…