Modification of Kortewegde-DeVries Solitons in Plasmas by Resonant Particles

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    A perturbed Korteweg–de Vries equation describing the influence of resonant electrons on a Trivelpiece–Gould soliton is solved numerically, and the results are compared with predictions from the perturbation analysis of the equation by Karpman and Maslov. The range of parameters for which the perturbation approach is valid is determined, and it is shown that for parameters that are within the perturbation validity limits the modifying effects on the soliton are negligible. However, it is demonstrated that the theoretical results from the perturbation analysis are good approximations even in cases of strong soliton modification. Examples are given both of soliton damping and soliton amplification, and it is shown that the numerical solutions also can be interpreted as describing the modification of an ion‐acoustic soliton by resonant particles.
    Original languageEnglish
    JournalPhysics of Fluids
    Volume26
    Issue number11
    Pages (from-to)3262-3272
    ISSN1070-6631
    DOIs
    Publication statusPublished - 1983

    Cite this