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math-ph2017★ 5 cited
Inverse scattering transform for the nonlocal reverse space-time Sine-Gordon, Sinh-Gordon and nonlinear Schrödinger equations with nonzero boundary conditions
Mark J. Ablowitz, Bao-Feng Feng, Xu-Dan Luo +1
The reverse space-time (RST) Sine-Gordon, Sinh-Gordon and nonlinear Schrödinger equations were recently introduced and shown to be integrable infinite-dimensional dynamical systems…
math-ph2008
Modulation theory for self-focusing in the nonlinear Schrödinger-Helmholtz equation
Yanping Cao, Ziad H. Musslimani, Edriss S. Titi
The nonlinear Schrödinger-Helmholtz (SH) equation in space dimensions with nonlinear power was proposed as a regularization of the classical nonlinear Schrödinger (NLS) eq…