Journal of Experimental and Theoretical Physics

, Volume 87, Issue 4, pp 807–813 | Cite as

Stability problem in nonlinear wave propagation

  • Yu. N. Ovchinnikov
Nonlinear Physics


An explicit expression for the excitation spectrum of the stationary solutions of a nonlinear wave equation is obtained. It is found that all branches of many-valued solutions of a nonlinear wave equation between the (2K+1,2K+2) turning points (branch points in the complex plane of the nonlinearity parameter) are unstable. Some parts of branches between the (2K,2K+1) turning points are also unstable. The instability of the latter is related to the possibility that pairs of complex conjugate eigenvalues cross the real axis in the κ plane.


Spectroscopy State Physics Field Theory Elementary Particle Quantum Field Theory 
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Copyright information

© American Institute of Physics 1998

Authors and Affiliations

  • Yu. N. Ovchinnikov
    • 1
  1. 1.L. D. Landau Institute for Theoretical PhysicsMoscowRussia

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