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3D‐solitons in a strongly magnetized plasma: Transition from flat to spherical waves of the Zakharov‐Kuznetsov equation
Author(s) -
Murawski K.
Publication year - 1992
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19925040309
Subject(s) - physics , plasma , basis (linear algebra) , fourier transform , space (punctuation) , initial value problem , classical mechanics , mathematical analysis , computational physics , quantum electrodynamics , mathematics , quantum mechanics , geometry , computer science , operating system
The Zakharov‐Kuznetsov equation has been used to describe ion‐acoustic wave propagation in a strong magnetic plasma. An initial‐value problem has been solved for this equation on the basis of a numerical method that uses the fast Fourier transform technique for calculating space derivatives and a fourth order Runge‐Kutta method for the time scheme. Numerical simulations have shown that the disturbed flat solitary waves can break up into spherical ones.