170 citations · 232 across the 8 of their papers we have counts for
4 papers · 1 filter
Breather gas fission from elliptic potentials in self-focusing media
Gino Biondini, Gennady A. El, Xu-Dan Luo +2
We present an analytical model of integrable turbulence in the focusing nonlinear Schrödinger (fNLS) equation, generated by a one-parameter family of finite-band elliptic potential…
Solitons, the Korteweg-de Vries equation with step boundary values and pseudo-embedded eigenvalues
Mark J. Ablowitz, Xu-Dan Luo, Justin T. Cole
The Korteweg-deVries (KdV) equation with step boundary conditions is considered, with an emphasis on soliton dynamics. When one or more initial solitons are of sufficient size they…
General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions
Bao-Feng Feng, Xu-Dan Luo, Mark J. Ablowitz +1
General soliton solutions to a nonlocal nonlinear Schrödinger (NLS) equation with PT-symmetry for both zero and nonzero boundary conditions {are considered} via the combination of…
Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
Mark J. Ablowitz, Xu-Dan Luo, Ziad H. Musslimani
In 2013 a new nonlocal symmetry reduction of the well-known AKNS scattering problem was found; it was shown to give rise to a new nonlocal symmetric and integrable Hamiltonian…