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Multiple scales analysis of the steady‐state Korteweg‐de Vries equation perturbed by a damping term
Author(s) -
Steinrück H.
Publication year - 2005
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310162
Subject(s) - term (time) , amplitude , korteweg–de vries equation , physics , mathematical analysis , mathematics , steady state (chemistry) , nonlinear system , quantum mechanics , chemistry
The stationary Korteweg‐de Vries equation perturbed by two different damping terms will be discussed. The solution is oscillatory with slowly varying amplitude, wave length and mean value. The multiple scales method is applied and equations for the slowly varying quantities are be derived.