Multi-soliton propagation in generalized inhomogeneous NLS equation with symmetric potentials
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DOI: 10.1016/j.ijleo.2018.12.186
Abstract: Abstract We investigate the generalized inhomogeneous NLS equation with symmetric potentials. Corresponding Lax pair is constructed through AKNS procedure. Based on the obtained Lax pair, one and two soliton solutions are generated via Darboux transformation… read more here.
Keywords: generalized inhomogeneous; symmetric potentials; equation symmetric; inhomogeneous nls ... See more keywords
Local minimizers for the NLS equation with localized nonlinearity on noncompact metric graphs
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DOI: 10.1515/math-2024-0129
Abstract: Abstract We investigate the existence of local minimizers for the nonlinear Schrödinger (NLS) equation with localized nonlinearity on noncompact metric graphs. In the absence of ground states, we prove that normalized local minimizers of the… read more here.
Keywords: equation localized; minimizers nls; nls equation; local minimizers ... See more keywords