131 citations · 235 across the 7 of their papers we have counts for
7 papers
Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices
Robert A. Van Gorder, Andrew L. Krause, Boris A. Malomed +1
We study coupled unstaggered-staggered soliton pairs emergent from a system of two coupled discrete nonlinear Schrödinger (DNLS) equations with the self-attractive on-site self-pha…
Unstaggered-staggered solitons in two-component discrete nonlinear Schrödinger lattices
Boris A. Malomed, D. J. Kaup, Robert A. Van Gorder
We present stable bright solitons built of coupled unstaggered and staggered components in a symmetric system of two discrete nonlinear Schrödinger (DNLS) equations with the attrac…
Resonant solitons from the operator
D. J. Kaup, Robert A. Van Gorder
Resonant solitons of the operator are studied. The scattering data of this operator contains four transmission coefficients, two in each half complex -plane, where $…
Squared Eigenfunctions for the Sasa-Satsuma Equation
Jianke Yang, D. J. Kaup
Squared eigenfunctions are quadratic combinations of Jost functions and adjoint Jost functions which satisfy the linearized equation of an integrable equation. In this article, squ…
The Legacy of the IST
David J. Kaup
We provide a brief review of some of the major research results arising from the method of the Inverse Scattering Transform.
"Embedded solitons": solitary waves in resonance with the linear spectrum
A. R. Champneys, B. A. Malomed, J. Yang +1
It is commonly held that a necessary condition for the existence of solitons in nonlinear-wave systems is that the soliton's frequency (spatial or temporal) must not fall into the…