ORBITAL STABILITY OF SOLITARY WAVES FOR THE NONLINEAR SCHRÖDINGER-KDV SYSTEM

Boling Guo; Yamin Xiao; Yingzhe Ban

doi:10.11948/20210142

2022 Volume 12 Issue 1

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Article navigation > Journal of Applied Analysis & Computation > 2022 > 12(1): 245-255

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Boling Guo, Yamin Xiao, Yingzhe Ban. ORBITAL STABILITY OF SOLITARY WAVES FOR THE NONLINEAR SCHRÖDINGER-KDV SYSTEM[J]. Journal of Applied Analysis & Computation, 2022, 12(1): 245-255. doi: 10.11948/20210142

Citation:

Boling Guo, Yamin Xiao, Yingzhe Ban. ORBITAL STABILITY OF SOLITARY WAVES FOR THE NONLINEAR SCHRÖDINGER-KDV SYSTEM[J]. Journal of Applied Analysis & Computation, 2022, 12(1): 245-255. doi: 10.11948/20210142

ORBITAL STABILITY OF SOLITARY WAVES FOR THE NONLINEAR SCHRÖDINGER-KDV SYSTEM

1.
Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China
2.
The Graduate School of China Academy of Engineering Physics, Beijing, 100088, China
3.
School of Mathematical Sciences, Peking University, Beijing, 100871, China

Author Bio: Email: gbl@iapcm.ac.cn(B. Guo); Email: banyingzhe@pku.edu.cn(Y. Ban)
Corresponding author: Email: xiaoyamin20@gscaep.ac.cn(Y. Xiao)
Fund Project: The authors were supported by National Natural Science Foundation of China (Nos. 11731014, 11571254)

Abstract

Abstract

This paper investigates the stability of solitary waves for the nonlinear Schrödinger-KdV system. We establish the existence and orbital stability of solitary waves solutions by applying the abstract results and detailed spectral analysis, and this result improves the previous one by Chen (1999).
- Solitary waves /
- orbital stability /
- nonlinear Schrödinger-KdV system
MSC: 35Q55, 35B35

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References

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