The stability of solitay wave solution to a modified Kadomtsev-Petviashvili equation | Zendy

Juan Zhang | Zendy; Zhigang Zhou | Zendy; Shi Yu-Ren | Zendy; Hong-Juan Yang | Zendy; Duan Wen-Shan | Zendy

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The stability of solitay wave solution to a modified Kadomtsev-Petviashvili equation

Author(s) -

Juan Zhang,

Zhigang Zhou,

Shi Yu-Ren,

Hong-Juan Yang,

Duan Wen-Shan

Publication year - 2012

Publication title -

acta physica sinica

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.

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