most citedThe higher-dimensional Ablowitz-Ladik model: from (non-)integrability and solitary waves to surprising collapse properties and more exotic solutions

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nlin.PS2009★ 1 cited

The higher-dimensional Ablowitz-Ladik model: from (non-)integrability and solitary waves to surprising collapse properties and more exotic solutions

P. G. Kevrekidis, G. J. Herring, S. Lafortune +1

We propose a consideration of the properties of the two-dimensional Ablowitz-Ladik discretization of the ubiquitous nonlinear Schrodinger (NLS) model. We use singularity confinemen…

nlin.PS2008

Quantization Of Spin Direction For Solitary Waves In A Uniform Magnetic Field

Q. E. Hoq

It is known that there are nonlinear wave equations with localized solitary wave solutions. Some of these solitary waves are stable (with respect to a small perturbation of initial…