Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials
From MaRDI portal
Publication:908434
DOI10.1007/BF01218621zbMath0693.35132MaRDI QIDQ908434
Publication date: 1989
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Partial differential equations of mathematical physics and other areas of application (35Q99)
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Cites Work
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- On the bound states of the nonlinear Schrödinger equation with a linear potential
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Stability theory of solitary waves in the presence of symmetry. I
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Nonlinear stability of fluid and plasma equilibria
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Linearized instability for nonlinear schrödinger and klein-gordon equations
- Liapunov stability of generalized Langmuir solitons
