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A study on the (2 + 1)‐dimensional KdV4 equation derived by using the KdV recursion operator
Author(s) -
Wazwaz AbdulMajid
Publication year - 2013
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.2721
Subject(s) - korteweg–de vries equation , mathematics , soliton , recursion (computer science) , operator (biology) , kdv hierarchy , hierarchy , mathematical physics , kadomtsev–petviashvili equation , mathematical analysis , algebra over a field , pure mathematics , burgers' equation , partial differential equation , nonlinear system , physics , quantum mechanics , algorithm , law , biochemistry , chemistry , repressor , transcription factor , gene , political science
We derive a new ( 2 + 1)‐dimensional Korteweg–de Vries 4 (KdV4) equation by using the recursion operator of the KdV equation. This study shows that the new KdV4 equation possess multiple soliton solutions the same as the multiple soliton solutions of the KdV hierarchy, but differ only in the dispersion relations. We also derive other traveling wave solutions. Copyright © 2013 John Wiley & Sons, Ltd.