27 citations · 29 across the 4 of their papers we have counts for
4 papers
Exponential asymptotics for line solitons in two-dimensional periodic potentials
Sean Nixon, T. R. Akylas, Jianke Yang
As a first step toward a fully two-dimensional asymptotic theory for the bifurcation of solitons from infinitesimal continuous waves, an analytical theory is presented for line sol…
From nonlocal gap solitary waves to bound states in periodic media
T. R. Akylas, Guenbo Hwang, Jianke Yang
Solitary waves in one-dimensional periodic media are discussed employing the nonlinear Schrödinger equation with a spatially periodic potential as a model. This equation admits two…
Solitary waves and their linear stability in nonlinear lattices
Guenbo Hwang, T. R. Akylas, Jianke Yang
Solitary waves in a general nonlinear lattice are discussed, employing as a model the nonlinear Schrödinger equation with a spatially periodic nonlinear coefficient. An asymptotic…
Continuous families of embedded solitons in the third-order NLS equation
Jianke Yang, Triantaphyllos R. Akylas
The nonlinear Schroedinger equation with a third-order dispersive term is considered. Infinite families of embedded solitons, parameterized by the propagation velocity, are found t…