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Soliton solutions of the (2+1)-dimensional Harry Dym equation via Darboux transformation
Faculty
Not Specified
Year:
2008
Type of Publication:
Article
Pages:
646-653
Authors:
Halim, A. A
DOI:
10.1016/j.chaos.2006.06.099
Journal:
CHAOS SOLITONS \& FRACTALS PERGAMON-ELSEVIER SCIENCE LTD
Volume:
36
Research Area:
Mathematics; Physics
ISSN
ISI:000252642100018
Keywords :
Soliton solutions , , (2+1)-dimensional Harry , equation , Darboux
Abstract:
This work introduces solitons solutions for the (2 + 1)-dimensional Harry Dym equation using Darboux transformation. The link between the (2 + 1)-dimensional Harry Dym equation and the linear system associated with the modified Kadomtzev-Patvishvili equation is used. Namely, soliton solutions for the linear system associated with the later equation are produced using Darboux transformation. These solutions are inserted in the mentioned link to produce soliton solutions for the (2 + 1)-dimensional Harry Dym equation. (c) 2006 Elsevier Ltd. All rights reserved.
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