Nonlinear MHD Waves and Discontinuities

  • Gregory D. Fleishman
  • Igor N. Toptygin
Part of the Astrophysics and Space Science Library book series (ASSL, volume 388)


Linear waves considered in Chap. 2 describe perturbations with small amplitudes. In the astrophysical conditions, however, a strong energy release gives often rise to large-amplitude perturbations, which cannot be fully accommodated by the linear theory and so require non-linear treatment. In this chapter we consider a number of important examples of the nonlinear waves—simple waves, solitons, and discontinuities—with the use of exact or approximate analytical methods.


Shock Wave Current Sheet Shock Front Burger Equation Simple Wave 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Gregory D. Fleishman
    • 1
  • Igor N. Toptygin
    • 2
  1. 1.Center for Solar-Terrestrial Research New Jersey Institute of TechnologyNewarkUSA
  2. 2.Department of Theoretical PhysicsSt. Petersburg State Polytechnical UniversitySt. PetersburgRussia

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