We address the stability of multi-solitons for the cubic nonlinear Schrödinger (NLS) equation on the line. By using the dressing transformation and the inverse scattering transform methods, we establish the orbital stability of multi-solitons in the L2(ℝ) space when the initial data is in a weighted L2(ℝ) space.
No takes yet. Share an insight, caveat, or question.
Contreras et al. (2014) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: