Small amplitude limit of solitary waves for the Euler-Poisson system

DOI10.1016/j.jde.2018.09.006zbMath1406.35256arXiv1805.00197OpenAlexW2963511949MaRDI QIDQ1710540

Junsik Bae, Bongsuk Kwon

Publication date: 22 January 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.00197

zbMATH Keywords

solitary waveKorteweg-de Vries equationEuler-Poisson system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Soliton solutions (35C08) Euler equations (35Q31)

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Cites Work

• Soliton collisions in the ion acoustic plasma equations
• Travelling wave analysis of an isothermal Euler-Poisson model
• Linear stability and instability of ion-acoustic plasma solitary waves
• KdV limit of the Euler-Poisson system