New exact superposition solutions to KdV2 equation
Fluid Dynamics
2018-04-09 v1
Abstract
New exact solutions to the KdV2 equation (known also 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 ~~ in the form of periodic functions found in the paper complement other forms of exact solutions to KdV2 obtained earlier, i.e., the solitonic ones and periodic ones given by a single or Jacobi elliptic functions.
Cite
@article{arxiv.1804.02222,
title = {New exact superposition solutions to KdV2 equation},
author = {Piotr Rozmej and Anna Karczewska},
journal= {arXiv preprint arXiv:1804.02222},
year = {2018}
}
Comments
20 pages, 16 figures