TY - JOUR
T1 - Interaction of solitons and the effect of radiation for the generalized KdV equation
AU - García-Alvarado, Martín G.
AU - Omel'yanov, Georgii A.
PY - 2014/8/1
Y1 - 2014/8/1
N2 - We consider the generalized KdV equation with nonlinearity u4and small dispersion ε. Our main result consists in the conclusion that, in the leading term with respect to ε, the solitary waves interact in this model like KdV solitons but both small corrections of the soliton parameters and small radiation term appear as a result of the waves collision. Our main tool is the numerical simulation. © 2013 Elsevier B.V.
AB - We consider the generalized KdV equation with nonlinearity u4and small dispersion ε. Our main result consists in the conclusion that, in the leading term with respect to ε, the solitary waves interact in this model like KdV solitons but both small corrections of the soliton parameters and small radiation term appear as a result of the waves collision. Our main tool is the numerical simulation. © 2013 Elsevier B.V.
U2 - 10.1016/j.cnsns.2013.06.024
DO - 10.1016/j.cnsns.2013.06.024
M3 - Article
SP - 2724
EP - 2733
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
SN - 1007-5704
ER -