21 citations · 36 across the 2 of their papers we have counts for
3 papers
math-ph2015★ 21 cited
KdV waves in atomic chains with nonlocal interactions
Michael Herrmann, Alice Mikikits-Leitner
We consider atomic chains with nonlocal particle interactions and prove the existence of near-sonic solitary waves. Both our result and the general proof strategy are reminiscent o…
math-ph2013
Nonlinear differential identities for cnoidal waves
Michael Leitner, Alice Mikikits-Leitner
This article presents a family of nonlinear differential identities for the spatially periodic function , which is essentially the Jacobian elliptic function $\cn^2(z;m(s))…
nlin.SI2010★ 15 cited
Long-Time Asymptotics of Perturbed Finite-Gap Korteweg-de Vries Solutions
Alice Mikikits-Leitner, Gerald Teschl
We apply the method of nonlinear steepest descent to compute the long-time asymptotics of solutions of the Korteweg--de Vries equation which are decaying perturbations of a quasi-p…