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Dynamics of rogue waves in the Davey-Stewartson II equation
Yasuhiro Ohta, Jianke Yang
General rogue waves in the Davey-Stewartson-II equation are derived by the bilinear method, and the solutions are given through determinants. It is shown that the simplest (fundame…
Stability switching at transcritical bifurcations of solitary waves in generalized nonlinear Schroedinger equations
Jianke Yang
Linear stability of solitary waves near transcritical bifurcations is analyzed for the generalized nonlinear Schroedinger equations with arbitrary forms of nonlinearity and externa…
On transverse stability of discrete line solitons
Dmitry E. Pelinovsky, Jianke Yang
We obtain sharp criteria for transverse stability and instability of line solitons in the discrete nonlinear Schrödinger equations on one- and two-dimensional lattices near the ant…
Nonlinear dynamics of wave packets in PT-symmetric optical lattices near the phase transition point
Sean Nixon, Yi Zhu, Jianke Yang
Nonlinear dynamics of wave packets in PT-symmetric optical lattices near the phase-transition point are analytically studied. A nonlinear Klein-Gordon equation is derived for the e…
Rogue waves in the Davey-Stewartson equation
Yasuhiro Ohta, Jianke Yang
General rogue waves in the Davey-Stewartson-I equation are derived by the bilinear method. It is shown that the simplest (fundamental) rogue waves are line rogue waves which arise…
Elimination of transverse instability in stripe solitons by one-dimensional lattices
Jianke Yang, Daniel Gallardo, Alexandra Miller +1
We demonstrate theoretically and experimentally that the transverse instability of coherent soliton stripes can be greatly suppressed or totally eliminated when the soliton stripes…