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

Boling Guo; Yueyang Feng

doi:10.11948/20240471

2025 Volume 15 Issue 4

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Boling Guo, Yueyang Feng. ORBITAL STABILITY OF SOLITARY WAVES TO THE COUPLED SCHRÖDINGER-BBM EQUATION[J]. Journal of Applied Analysis & Computation, 2025, 15(4): 2381-2391. doi: 10.11948/20240471

Citation:

Boling Guo, Yueyang Feng. ORBITAL STABILITY OF SOLITARY WAVES TO THE COUPLED SCHRÖDINGER-BBM EQUATION[J]. Journal of Applied Analysis & Computation, 2025, 15(4): 2381-2391. doi: 10.11948/20240471

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

Boling Guo^1,,
Yueyang Feng^2, ,

1.
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
2.
The Graduate School of China Academy of Engineering Physics, Beijing 100088, China

Author Bio: Email: gbl@iapcm.ac.cn(B. Guo)
Corresponding author: Email: fengyueyang23@gscaep.ac.cn(Y. Feng)

Abstract

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.
- Orbital stability /
- solitary waves /
- coupled Schrödinger-BBM equation
MSC: 35Q55, 35B35

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References

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