Nonlinear Non-Dissipative Schr¨odinger Equation for Geyser-Type Oceanic Waves in the de Broglie–Bohm Hydrodynamic Formalism

Daniel Gemaque Gemaque da Silva

Published Jan 1, 2026• 0 citations

Abstract

Abstract In this work we propose a nonlinear non-dissipative Schr¨odinger equation capable of describing geyser-type oceanic wave structures within the de Broglie–Bohm hydrodynamic formalism. The model is constructed assuming a conservative continuity equation and a conservative Euler equation. The wave intensity is interpreted as an oceanic wave density field. A periodic nonlinear interaction term is introduced in order to generate eruptive and pulsating wave dynamics similar to geyser structures. The corresponding Bohm quantum potential and hydrodynamic equations are derived explicitly.

DOI: 10.17605/osf.io/rqxhe

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