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On Construction and Solution of the Fifth‐Order Korteweg‐de Vries Equation
Author(s) -
Murawski K.
Publication year - 1987
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.19874990807
Subject(s) - korteweg–de vries equation , inverse scattering transform , soliton , mathematical physics , lax pair , inverse scattering problem , physics , dispersionless equation , order (exchange) , inverse , scattering , mathematics , kadomtsev–petviashvili equation , integrable system , characteristic equation , partial differential equation , quantum mechanics , nonlinear system , finance , economics , geometry
The Lax's criterion has an attempt at construction of the fifth‐order Korteweg‐de Vries equation. One‐soliton solution of this equation is obtained via using the inverse scattering technique.