Growth rate of transverse instabilities of solitary pulse solutions to a family of modified Zakharov-Kuznetsov equations

DOI10.1016/j.physleta.2007.12.005zbMath1220.76080OpenAlexW1971824870MaRDI QIDQ637328

Nongluk Hongsit, Michael A. Allen, George Rowlands

Publication date: 2 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.12.005

zbMATH Keywords

solitonstransverse stabilitygeneralized Zakharov-Kuznetsov equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

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Cites Work

• Evolution of two-dimensional lump nanosolitons for the Zakharov-Kuznetsov and electromigration equations
• Large amplitude ion-acoustic double layers in a double Maxwellian electron plasma
• Unified derivation of Korteweg-de Vries- Zakharov-Kuznetsov equations in multispecies plasmas
• Explicit exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
• Unnamed Item

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