New Exact Superposition Solutions to KdV2 Equation

Autor: Piotr Rozmej, Anna Karczewska
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2018 (2018)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2018/5095482
Popis: 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.
Databáze: Directory of Open Access Journals
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