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Nonlinear Coherent Phenomena in Continuous Media

  • E.A. Kuznetsov
  • V.E. Zakharov
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 542)

Abstract

This review is devoted to description of coherent nonlinear phenomena in almost conservative media with applications to plasma physics, fluid dynamics and nonlinear optics. The main attention in the review is paid to consideration of solitons, collapses, and black holes. The latter is a quasi-stationary singular object which appear after the formation of a singularity in nonlinear wave systems. We discuss in details the qualitative reasons of the wave collapse and a difference between solitons and collapses, and apply to their analysis exact methods based on the integral estimates and the Hamiltonian formalism. These approaches are demonstrated mainly on the basic nonlinear models, i.e. on the nonlinear Schrödinger equation and the Kadomtsev-Petviashvili equation and their generalizations.

Keywords

Black Hole Wave Packet Coherent Structure Continuous Medium Soliton Solution 
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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© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • E.A. Kuznetsov
  • V.E. Zakharov

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