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Positons of the modified Korteweg de Vries equation
Author(s) -
Stahlhofen A. A.
Publication year - 1992
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19925040708
Subject(s) - korteweg–de vries equation , mathematical physics , physics , dispersionless equation , kadomtsev–petviashvili equation , partial differential equation , burgers' equation , nonlinear system , quantum mechanics
The concept of positons, i.e. certain multiparametric solutions of the Korteweg de Vries equation with new properties, is extended to the modified Korteweg de Vries equation. It is shown that the essential features of positons carry over to this case; the collision of positons, the solitary‐wave‐positon interaction and simple generalizations are discussed in detail. Suggestions for future research and possible applications of the present work are sketched.