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.
N1 - Funding Information:
The research was supported by SEP-CONACYT under Grant 178690 (Mexico).
PY - 2014/8
Y1 - 2014/8
N2 - We consider the generalized KdV equation with nonlinearity u4 and 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.
AB - We consider the generalized KdV equation with nonlinearity u4 and 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.
KW - Finite differences scheme
KW - Generalized Korteweg-de Vries equation
KW - Interaction
KW - Soliton
KW - Weak asymptotics method
UR - http://www.scopus.com/inward/record.url?scp=84894300990&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2013.06.024
DO - 10.1016/j.cnsns.2013.06.024
M3 - Artículo
SN - 1007-5704
VL - 19
SP - 2724
EP - 2733
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 8
ER -