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The Nonlinear Dispersion Relation and the Relationship of the Forming Soliton Area to the Evolution of Pulsars

Published online by Cambridge University Press:  04 August 2017

Mao Xinjie  and
Tong Yi
Mao Xinjie
Affiliation:
Astronomy Department, Beijing Normal University, Beijing, China
Tong Yi
Affiliation:
Astronomy Department, Beijing Normal University, Beijing, China

Extract

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Based on Zakharov's equations, Karpman et al. claimed that there were solitons in the magnetosphere. According to the model proposed by Goldreich and Julin, there is a strong induced electric field in the magnetosphere. It seems that we should include the nonlinear effects of the electric field on the polarization of hydrogen atoms if there really are some hydrogen atoms spreading in the magnetosphere of the pulsar. Assuming the magnetosphere is symetric, therefore the electric polarization of hydrogen atoms is of the form P=χ(1)E +χχE3. We treat χ(1) and χ(2) as scalars because most hydrogen atoms in the universe are in the ground state and χ(3) is much smaller than χ(1).

Type
V. Neutron Star Physics
Information
Symposium - International Astronomical Union , Volume 125: The Origin and Evolution of Neutron Stars , 1987 , pp. 461
Copyright
Copyright © Reidel 1987