Lie Symmetry Analysis and New Exact Solutions for a Higher-Dimensional Shallow Water Wave Equation
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In our work, a higher-dimensional shallow water wave equation, which can be reduced to the potential KdV equation, is discussed.
By using the Lie symmetryanalysis, all of the geometric vector fields of the equation are obtained; the symmetry reductions are also presented.
Some new nonlinear wave solutions, involving differentiable arbitrary functions, expressed by Jacobi elliptic function, Weierstrass elliptic function, hyperbolic function, and trigonometric function are obtained.
Our work extends pioneer results.
American Psychological Association (APA)
He, Ying-Hui. 2015. Lie Symmetry Analysis and New Exact Solutions for a Higher-Dimensional Shallow Water Wave Equation. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073811
Modern Language Association (MLA)
He, Ying-Hui. Lie Symmetry Analysis and New Exact Solutions for a Higher-Dimensional Shallow Water Wave Equation. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1073811
American Medical Association (AMA)
He, Ying-Hui. Lie Symmetry Analysis and New Exact Solutions for a Higher-Dimensional Shallow Water Wave Equation. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073811
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073811