DocumentCode
1813856
Title
Darboux Transformations of Zakharov I Equation
Author
Li, Fang ; Zhang, Jinshun ; Zhang, Yingqi
Author_Institution
Coll. of Sci., Henan Univ. of Technol., Zhengzhou, China
fYear
2010
fDate
29-31 July 2010
Firstpage
159
Lastpage
162
Abstract
The Zakharov I (Z-I) equation is studied in the present paper. With the help of isomorphism of Lie algebra, its Lax pair which is presented by 3 × 3 matrices is mapped into the one described by 2 × 2 matrices. By the skills of theory of Darboux matrix, some Darboux transformations of Zakharov I equation are constructed in the present paper, and the relations between them are discussed. As an application, a soliton solution of Zakharov I equation is obtained.
Keywords
Lie algebras; partial differential equations; solitons; Darboux transformations; Lax pair; Lie algebra isomorphism; Zakharov I equation; soliton solution; Algebra; Geometry; Mathematical model; Polynomials; Solitons; Darboux transformation; Zakharov I equation; explicit solution;
fLanguage
English
Publisher
ieee
Conference_Titel
Electronic Commerce and Security (ISECS), 2010 Third International Symposium on
Conference_Location
Guangzhou
Print_ISBN
978-1-4244-8231-3
Electronic_ISBN
978-1-4244-8231-3
Type
conf
DOI
10.1109/ISECS.2010.43
Filename
5557414
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