Open AccessThe stability of solitay wave solution to a modified Kadomtsev-Petviashvili equation
Author(s) -
Juan Zhang,
Zhigang Zhou,
Yu-Ren Shi,
Yang Hong-Juan,
WenShan Duan
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.130401
Subject(s) - kadomtsev–petviashvili equation , physics , perturbation (astronomy) , stability (learning theory) , mathematical analysis , plasma , classical mechanics , quantum electrodynamics , partial differential equation , mathematics , characteristic equation , quantum mechanics , machine learning , computer science
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.