activity
20162024
most citedGeneral soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions

170 citations · 232 across the 8 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

nlin.PS2022★ 30 cited

Soliton-mean field interaction in Korteweg-de Vries dispersive hydrodynamics

Mark J. Ablowitz, Justin T. Cole, Gennady A. El +2

The propagation of localized solitons in the presence of large-scale waves is a fundamental problem, both physically and mathematically, with applications in fluid dynamics, nonlin…

math.SP2022★ 4 cited

Elliptic finite-band potentials of a non-self-adjoint Dirac operator

Gino Biondini, Xu-Dan Luo, Jeffrey Oregero +1

We present an explicit two-parameter family of finite-band Jacobi elliptic potentials for a non-self-adjoint Dirac operator which connects two previously known limiting cases in wh…