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Abstract

The reductive perturbation method is employed to describe the behaviour of ion-acoustic waves for plasmas in the absence of magnetic field, leading to a type of modified Kadomtsev-Petviashvili equation. The stability of a special type of solitary wave solutions for the modified Kadomtsev-Petviashvili equation is investigated with a finite difference scheme. The numerical results show that this solitary wave is unstable under two particular initial perturbations.

Keywords:

ion-acoustic solitary waves/
reductive perturbation method/
modified Kadomtsev-Petviashvili equation/
stability

Authors and contacts

1.
Funds:Project supported by the National Natural Science Foundation of China (Grant No. 11047010), the Key Project Foundation of the Education Ministry of China (Grant No. 209128), and the Natural Science Foundation of Northwest Normal University (Grant No. NWNU-KJCXGC-03-53).

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Cited By

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Vol. 61, Issue 13 - 2012-07-05

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