New Exact Superposition Solutions to KdV2 Equation

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...

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Bibliographic Details
Main Authors: Piotr Rozmej, Anna Karczewska
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/5095482