Nonlinear Bohmian Schr¨odinger Equation for Oceanic Waves with Saturable Curvature Effects, Ermakov–Lewis Invariant, Feynman Propagator and Solitonic Solutions
Year: 2026
Type: article
Abstract: A nonlinear Bohmian Schr¨odinger equation for oceanic wave dynamics is proposed using the Madelung–de Broglie–Bohm hydrodynamic formalism. The probability density is interpreted as the oceanic wave intensity. The model incorporates saturable nonlinear effects, curvature corrections and nonlinear gradient contributions. The associated continuity equation and Euler-type equation are derived. A generalized Ermakov–Lewis invariant is developed together with a Bohmian Feynman propagator. Exact bright soliton solutions are obtained in the weak saturation regime. The model may describe coherent oceanic structures, rogue-wave precursors and nonlinear hydrodynamic wave packets.
Author: Gemaque da Silva, Daniel
Institution: Universidade Federal do Pará
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7160821037
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