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Stable vortex and dipole vector solitons in a saturable nonlinear medium
Jianke Yang, Dmitry E. Pelinovsky
We study both analytically and numerically the existence, uniqueness, and stability of vortex and dipole vector solitons in a saturable nonlinear medium in (2+1) dimensions. We con…
A scalar nonlocal bifurcation of solitary waves for coupled nonlinear Schroedinger systems
Alan Champneys, Jianke Yang
An explanation is given for previous numerical results which suggest a certain bifurcation of `vector solitons' from scalar (single-component) solitary waves in coupled nonlinear S…
Semi-stability of embedded solitons in the general fifth-order KdV equation
Yu Tan, Jianke Yang, Dmitry Pelinovsky
Evolution of perturbed embedded solitons in the general Hamiltonian fifth-order Korteweg--de Vries (KdV) equation is studied. When an embedded soliton is perturbed, it sheds a one-…
Solitons in coupled Ablowitz-Ladik chains
Boris A. Malomed, Jianke Yang
A model of two coupled Ablowitz-Ladik (AL) lattices is introduced. While the system as a whole is not integrable, it admits reduction to the integrable AL model for symmetric state…
Higher-order solitons in the N-wave system
Valery S. Shchesnovich, Jianke Yang
The soliton dressing matrices for the higher-order zeros of the Riemann-Hilbert problem for the -wave system are considered. For the elementary higher-order zero, i.e. whose alg…