Bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations
DOI10.1016/j.jde.2023.06.049zbMath1528.35008arXiv2005.10317OpenAlexW4385541510MaRDI QIDQ6073624
Kazuyuki Yagasaki, Shotaro Yamazoe
Publication date: 18 September 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.10317
Evans functionsolitary wavebifurcationMelnikov analysiscoupled nonlinear Schrödinger equationsspectral stabilityHamiltonian-Krein index
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Bifurcations in context of PDEs (35B32) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Soliton solutions (35C08)
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