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New Lax Pairs and Darboux Transformation and Its Applicationto a Shallow Water Wave Model of Generalized KdV Type
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
New Lax pairs of a shallow water wave model of generalized KdV equation type are presented.
According to this Lax pair, we constructed a new spectral problem.
By using this spectral problem, we constructed Darboux transformation with the help of a gauge transformation.
Applying this Darboux transformation, some new exact solutions including double-soliton solution of the shallow water wave model of generalized KdV equation type are obtained.
In order to visually show dynamical behaviors of these double soliton solutions, we plot graphs of profiles of them and discuss their dynamical properties.
American Psychological Association (APA)
Yang, Huizhang& Rui, Weiguo. 2013. New Lax Pairs and Darboux Transformation and Its Applicationto a Shallow Water Wave Model of Generalized KdV Type. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1009813
Modern Language Association (MLA)
Yang, Huizhang& Rui, Weiguo. New Lax Pairs and Darboux Transformation and Its Applicationto a Shallow Water Wave Model of Generalized KdV Type. Mathematical Problems in Engineering No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1009813
American Medical Association (AMA)
Yang, Huizhang& Rui, Weiguo. New Lax Pairs and Darboux Transformation and Its Applicationto a Shallow Water Wave Model of Generalized KdV Type. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1009813
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009813