Nonlinear Schr¨odinger Equation with an Exponential Oceanic Term: A Bohmian Approach and the Ermakov–Lewis Invariant

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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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-08
DOI
https://doi.org/10.5281/zenodo.20077445
Primary Topic
Nonlinear Waves and Solitons
Type
article
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article

Nonlinear Schr¨odinger Equation with an Exponential Oceanic Term: A Bohmian Approach and the Ermakov–Lewis Invariant

Daniel Gemaque da Silva
Zenodo (CERN European Organization for Nuclear Research)
Nonlinear Waves and Solitons
article

Nonlinear Schr¨odinger Equation with an Exponential Oceanic Term: A Bohmian Approach and the Ermakov–Lewis Invariant

Daniel Gemaque da Silva
article en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Universidade Federal do Pará (BR)
Life below water
Openalex Percentile: Top 5%
Nonlinear Waves and Solitons
DOIOpen Access PDFOpenAlex
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Nonlinear Schr¨odinger Equation with an Exponential Oceanic Term: A Bohmian Approach and the Ermakov–Lewis Invariant — Daniel Gemaque da Silva · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS