Dynamics of Lump Solutions in a 2 + 1 NLS Equation

• DOI: 10.1111/j.1467-9590.2009.00440.x
• Publication Date: 2009-05-01T16:13:34Z
• Authors: Javier Villarroel; J. Prada; P. G. Estévez
• Keywords: Eigenfunction; Dynamics; Operator (biology)

We derive a class of localized solutions 2+1 nonlinear Schrödinger (NLS) equation and study their dynamical properties. The ensuing dynamics these configurations is superposition uniform, “center mass” motion slower, individual motion; as result, nontrivial scattering between humps may occur. Spectrally, correspond to the discrete spectrum certain associated operator, comprised higher‐order meromorphic eigenfunctions.