Premium
Symmetry reductions and traveling wave solutions for the Krichever–Novikov equation
Author(s) -
Bruzón M.S.,
Gandarias M.L.
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1578
Subject(s) - novikov self consistency principle , mathematics , symmetry (geometry) , similarity (geometry) , traveling wave , mathematical physics , mathematical analysis , kadomtsev–petviashvili equation , partial differential equation , pure mathematics , characteristic equation , geometry , artificial intelligence , computer science , image (mathematics)
In this paper, we study the Krichever–Novikov equation from the point of view of the theory of symmetry reductions in PDEs. By using this theory, we find that for the Krichever–Novikov equation some similarity solutions are solutions with physical interest: solitons, kinks, antikinks, and compactons. Copyright © 2012 John Wiley & Sons, Ltd.