TY - JOUR
A2 - Scarfone, Antonio
AU - Rozmej, Piotr
AU - Karczewska, Anna
PY - 2018
DA - 2018/02/28
TI - New Exact Superposition Solutions to KdV2 Equation
SP - 5095482
VL - 2018
AB - 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.
SN - 1687-9120
UR - https://doi.org/10.1155/2018/5095482
DO - 10.1155/2018/5095482
JF - Advances in Mathematical Physics
PB - Hindawi
KW -
ER -