Journal of Mathematical Physics · 1970 · 92 citations · 19 references
Natural SciencesMathematicsPhysicsDifferential EquationsElectromagnetismMathematical PhysicsEinstein Field EquationsNonlinear DynamicsPartial Differential EquationsStability TheoryTime-dependent NonlinearityTime-varying FieldsNonlinear StabilityStability Of Partial Differential Equations
The stability of time-dependent particlelike solutions of the form ψ=φ(r)e−iωt is examined for the nonlinear field ∇2ψ−c−2∂2ψ/∂t2=κ2ψ−μ2ψψ*ψ. It is found that such solutions are unstable for all ω.
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R. J. Finkelstein, R. LeLevier, M. Ruderman · Physical Review · 1951 · 245 citations
On the Instability of a Class of Unitary Field Models
R. Hobart · Proceedings of the Physical Society · 1963 · 195 citations