New Exact Superposition Solutions to KdV2 Equation
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-28
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
New exact solutions to the KdV2 equation (also known as the extended KdV equation) are constructed.
The KdV2 equation is a second-order approximation of the set of Boussinesq’s equations for shallow water waves which in first-order approximation yields KdV.
The exact solutions A/2dn2[B(x-vt),m]±m cn[B(x-vt),m]dn[B(x-vt),m]+D in the form of periodic functions found in the paper complement other forms of exact solutions to KdV2 obtained earlier, that is, the solitonic ones and periodic ones given by single cn2 or dn2 Jacobi elliptic functions.
American Psychological Association (APA)
Rozmej, P.& Karczewska, A.. 2018. New Exact Superposition Solutions to KdV2 Equation. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119181
Modern Language Association (MLA)
Rozmej, P.& Karczewska, A.. New Exact Superposition Solutions to KdV2 Equation. Advances in Mathematical Physics No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1119181
American Medical Association (AMA)
Rozmej, P.& Karczewska, A.. New Exact Superposition Solutions to KdV2 Equation. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119181
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119181