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Oscillating Tails in the Perturbed Korteweg‐de Vries Equation
Author(s) -
Milewski Paul
Publication year - 1993
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm199390187
Subject(s) - korteweg–de vries equation , mathematics , simple (philosophy) , interpretation (philosophy) , mathematical physics , dispersionless equation , mathematical analysis , term (time) , physics , differential equation , kadomtsev–petviashvili equation , nonlinear system , characteristic equation , quantum mechanics , computer science , philosophy , epistemology , programming language
A simple method is used to derive the exponentially small oscillatory tails of solitons when the Korteweg‐de Vries equation is perturbed with a higher‐order dispersive term. A physical interpretation of the results is given, and several possible extensions to the problem are proposed.