Published May 7, 2026 | Version v1
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Dissipative Nonlinear Schr¨odinger Model for Helicoidal Oceanic Water Spouts in the de Broglie–Bohm Framework

Authors/Creators

  • 1. Universidade Federal do Pará

Description

We propose a one-dimensional nonlinear Schr¨odinger equation containing an exponential imaginary term associated with ocean wave intensity. The model admits localized solutions with exponential growth, analogous to waterspouts. The width dynamics leads to an Ermakov-type equation and a generalized Ermakov–Lewis invariant.

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Dissipative Nonlinear Schrödinger Model for Helicoidal Oceanic Water Spouts in de Broglie-Bohm Framework.pdf

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Additional details

Dates

Accepted
2026-05-07
Wepropose a dissipative nonlinear Schr¨odinger equation in one spatial dimension to model oceanic wave intensity exhibiting water-spout-like structures. The model combines cubic, logarithmic, and saturable nonlinearities, interpreted as dual interacting mechanisms. Within the de Broglie–Bohm framework, density is treated as wave intensity and phase defines a velocity field. Stationary states and modulational instability are analyzed, and numerical simulations confirm the emergence of localized structures.