Abstract
Integrable systems of Ermakov–Ray–Reid type with underlying Hamiltonian structure arise in a wide range of nonlinear physics contexts, notably in optics via the paraxial approximation. Here, exact gausson-type wave packet representations are constructed for 3 + 1-dimensional logarithmic nonlinear Schrödinger equations modulated in terms of such Ermakov systems. Connection is made, in particular, with novel ‘flip over’ phenomena observed experimentally in the expansion of laser-pulsed plasma ellipsoids into a vacuum.
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