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
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;
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
DOI :
10.1109/ISECS.2010.43
