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nlin.PS2013★ 2 cited
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…
nlin.PS2011★ 27 cited
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…
nlin.PS2003
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…