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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

Abstract

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.

Keywords

Spectroscopy State Physics Field Theory Elementary Particle Quantum Field Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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