Premium
Amplification of Ion‐Acoustic Solitary Waves in a Vlasov‐Plasma. I. A Higher Order Nonlinear Evolution Equation of KdV‐Type
Author(s) -
Bruhn B.,
Leven R.
Publication year - 1984
Publication title -
beiträge aus der plasmaphysik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0005-8025
DOI - 10.1002/ctpp.19840240202
Subject(s) - korteweg–de vries equation , physics , vlasov equation , soliton , nonlinear system , type (biology) , poisson's equation , plasma , limit (mathematics) , ion , order (exchange) , mathematical analysis , mathematical physics , quantum electrodynamics , mathematics , quantum mechanics , finance , economics , ecology , biology
With the help of an iterative method we derive a higher nonlinear evolution equation of the KdV‐type starting from the Vlasov‐Poisson system. This equation describes the amplification of ion‐acoustic solitary waves. A perturbative‐theoretical approach is given for small deviations from the 1‐soliton solution. The amplification shows an exponentiel time behaviour in this limit.