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Document Details
Document Type
:
Article In Journal
Document Title
:
Exact solutions for the generalized KdV equation by using Backlund transformations
Exact solutions for the generalized KdV equation by using Backlund transformations
Subject
:
Mathematics
Document Language
:
English
Abstract
:
In this paper, the Backlund transformations for the generalized KdV equation are constructed through AblowitzKaupNewellSegur (AKNS) system in using Ricatti's form of the inverse method. The derived Backlund transformations are used to generate new classes of exact solutions. The technique developed here is based on the construction of wave functions which are the solutions of the associated AKNS. From known simple solutions we shall construct other solitons and wave solutions as well.
ISSN
:
0016-0032
Journal Name
:
Journal of the Franklin Institute
Volume
:
348
Issue Number
:
8
Publishing Year
:
1432 AH
2011 AD
Article Type
:
Article
Added Date
:
Sunday, April 22, 2012
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
حسن أحمد زيدان
Zedan, Hassan A
Researcher
Doctorate
hassanzedan2003@yahoo.com
Files
File Name
Type
Description
32976.pdf
pdf
Abstract
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