A Modified Reductive Perturbation Method as Applied to Nonlinear Ion-Acoustic Waves

DOI10.1143/JPSJ.68.1833zbMath0977.82042OpenAlexW2171039703MaRDI QIDQ2718271

Hilmi Demiray

Publication date: 13 August 2001

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/jpsj.68.1833

zbMATH Keywords

solitary wavesreductive perturbationion-acoustic plasma

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

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An analysis of higher order terms for ion-acoustic waves by use of the modified Poincaré-Lighthill-Kuo method ⋮ An application of modified reductive perturbation method to long water waves ⋮ Contribution of higher order terms in electron-acoustic solitary waves with vortex electron distribution ⋮ The Korteweg-de Vries-Burgers hierarchy in fluid-filled elastic tubes ⋮ Solitary waves in fluid-filled elastic tubes: weakly dispersive case ⋮ Contributions of higher order terms to nonlinear waves in fluid-filled elastic tubes: strongly dispersive case ⋮ Higher order approximations in reductive perturbation method: strongly dispersive waves ⋮ Multiple time scale formalism and its application to long water waves ⋮ Higher order perturbation expansion of waves in water of variable depth ⋮ The modified reductive perturbation method as applied to Boussinesq equation: strongly dispersive case

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