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Propagation of ion‐acoustic solitons in a lossy plasma with density gradients
Author(s) -
Yagi Tsuneo,
Noguchi Akira
Publication year - 1980
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs015i005p01025
Subject(s) - ion , physics , plasma , korteweg–de vries equation , lossy compression , amplitude , ion acoustic wave , soliton , relaxation (psychology) , transformation (genetics) , classical mechanics , computational physics , mechanics , optics , quantum mechanics , mathematics , nonlinear system , chemistry , social psychology , psychology , biochemistry , statistics , gene
It is shown that a certain type of nonuniform media with a relaxation effect can still support exact multisoliton. Through the original Gardner‐Morikawa transformation the propagation of a solitary ion‐acoustic wave in a plasma with both ion‐neutral collisions and density gradients is shown in the Korteweg‐de Vries equation with loss and nommiformity terms. If there exists a certain balancing between them, the corresponding solutions are shown to express solitons damping their amplitude in time, without emitting any oscillatory tails.