TY - JOUR
T1 - Interaction of solitary waves for the generalized KdV equation
AU - Garcia Alvarado, Martin G.
AU - Omel'yanov, Georgii A.
PY - 2012/8/1
Y1 - 2012/8/1
N2 - We consider a class of generalized KdV equations with a small parameter and nonlinearities of the type um. We create a finite differences scheme to simulate the solution of the Cauchy problem and present some numerical results for the problem of the solitary waves interaction. In particular, we consider sufficient condition under which pairs of solitary waves interact, in the asymptotic sense, in accordance with the soliton scenario. © 2011 Elsevier B.V.
AB - We consider a class of generalized KdV equations with a small parameter and nonlinearities of the type um. We create a finite differences scheme to simulate the solution of the Cauchy problem and present some numerical results for the problem of the solitary waves interaction. In particular, we consider sufficient condition under which pairs of solitary waves interact, in the asymptotic sense, in accordance with the soliton scenario. © 2011 Elsevier B.V.
U2 - 10.1016/j.cnsns.2011.12.001
DO - 10.1016/j.cnsns.2011.12.001
M3 - Article
SP - 3204
EP - 3218
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
SN - 1007-5704
ER -