ORBITAL STABILITY OF SOLITARY WAVES TO THE COUPLED SCHRÖDINGER-BBM EQUATION

This paper investigated the orbital stability of the solitary waves of the coupled Schrödinger-BBM equation through abstract theoretical results and detailed spectral analysis. First, we derived the explicit exact solitary wave solutions of the coupled Schrödinger-BBM equation. Then, using the orbital stability theory developed by Grillakis et al., we established general criteria for assessing the orbital stability of these solitary waves.

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Publication Details

Journal
Journal of Applied Analysis & Computation
Published
2025-01-01
DOI
https://doi.org/10.11948/20240471
Primary Topic
Cold Atom Physics and Bose-Einstein Condensates
Type
article
Field-Weighted Citation Impact
0.00
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article

ORBITAL STABILITY OF SOLITARY WAVES TO THE COUPLED SCHRÖDINGER-BBM EQUATION

Yueyang Feng, Boling Guo
Journal of Applied Analysis & Computation
Cold Atom Physics and Bose-Einstein Condensates
article

ORBITAL STABILITY OF SOLITARY WAVES TO THE COUPLED SCHRÖDINGER-BBM EQUATION

Yueyang Feng, Boling Guo
article en

Abstract

This paper investigated the orbital stability of the solitary waves of the coupled Schrödinger-BBM equation through abstract theoretical results and detailed spectral analysis. First, we derived the explicit exact solitary wave solutions of the coupled Schrödinger-BBM equation. Then, using the orbital stability theory developed by Grillakis et al., we established general criteria for assessing the orbital stability of these solitary waves.

Journal of Applied Analysis & ComputationVol. 15(4)
Openalex Percentile: Top 89%
Cold Atom Physics and Bose-Einstein Condensates
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ORBITAL STABILITY OF SOLITARY WAVES TO THE COUPLED SCHRÖDINGER-BBM EQUATION — Yueyang Feng, Boling Guo · Journal of Applied Analysis & Computation (2025) | TGRS Research Map | TGRS