42 citations · 99 across the 4 of their papers we have counts for
4 papers
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…
Solitons, boundary value problems and a nonlinear method of images
Gino Biondini, Guenbo Hwang
We characterize the soliton solutions of the nonlinear Schroedinger equation on the half line with linearizable boundary conditions. Using an extension of the solution to the whole…
Initial-boundary value problems for discrete evolution equations: discrete linear Schrodinger and integrable discrete nonlinear Schrodinger equations
Gino Biondini, Guenbo Hwang
We present a method to solve initial-boundary value problems for linear and integrable nonlinear differential-difference evolution equations. The method is the discrete version of…