Stability of semitrivial periodic waves of a Schrödinger system
From MaRDI portal
Publication:5234045
DOI10.1063/1.5089525zbMath1421.81039OpenAlexW2967659946MaRDI QIDQ5234045
Publication date: 9 September 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5089525
Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear stability of periodic traveling wave solutions to the Schrödinger and the modified Korteweg-de Vries equations
- Stability of periodic traveling waves for complex modified Korteweg-de Vries equation
- Sufficient conditions for stability of solitary-wave solutions of model equations for long waves
- Stability theory of solitary waves in the presence of symmetry. I
- Instability of standing waves for a system of nonlinear Schrödinger equations in a degenerate case
- STABILITY OF PERIODIC TRAVELING WAVES FOR THE QUADRATIC AND CUBIC NONLINEAR SCHRÖDINGER EQUATIONS
- Bifurcation from Semitrivial Standing Waves and Ground States for a System of Nonlinear Schrödinger Equations
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation
- On the stability theory of solitary waves
- Matter-Wave Solitons in an F=1 Spinor Bose–Einstein Condensate
- Multi-speed solitary wave solutions for a coherently coupled nonlinear Schrödinger system
- Multicomponent coherently coupled and incoherently coupled solitons and their collisions
- Periodic pulses of coupled nonlinear Schr\"odinger equations in optics
- Stability of periodic travelling shallow-water waves determined by Newton's equation
- Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
- Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
