Numerical analyses for spectral stability of solitary waves near bifurcation points

DOI10.1007/s13160-020-00428-wOpenAlexW3042082051MaRDI QIDQ2024605

Shotaro Yamazoe, Kazuyuki Yagasaki

Publication date: 4 May 2021

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-020-00428-w

zbMATH Keywords

solitary wavebifurcationnonlinear Schrödinger equationsspectral stabilitynumerical analysis

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical bifurcation problems (65P30) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Boundary eigenvalue problems for ordinary differential equations (34B09) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Bifurcation of Relative Equilibria in Infinite-Dimensional Hamiltonian Systems ⋮ Numerical computations for bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations

Uses Software

• AUTO
• AUTO-07P
• HomCont

Cites Work

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