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No Stability Switching at Saddle-Node Bifurcations of Solitary Waves in Generalized Nonlinear Schroedinger Equations
Jianke Yang
Saddle-node bifurcations arise frequently in solitary waves of diverse physical systems. Previously it was believed that solitary waves always undergo stability switching at saddle…
General high-order rogue waves and their dynamics in the nonlinear Schroedinger equation
Yasuhiro Ohta, Jianke Yang
General high-order rogue waves in the nonlinear Schroedinger equation are derived by the bilinear method. These rogue waves are given in terms of determinants whose matrix elements…
Transversely Stable Soliton Trains in Photonic Lattices
Jianke Yang
We report the existence of transversely stable soliton trains in optics. These stable soliton trains are found in two-dimensional square photonic lattices when they bifurcate from…
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…