Author's: J. Noyola Rodriguez and G. Omel’yanov
Pages: [27] - [46]
Received Date: November 18, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121891
We consider a family of generalized KdV equations with a small
dispersion and -nonlinearity
We present sufficient conditions for
under which a soliton type solution exists and,
moreover, pairs of solitary waves collide preserving in an asymptotic
sense the KdV-type scenario of interaction. Furthermore, we create a
finite difference scheme to simulate the solution of the Cauchy
problem and present some numerical results for the interaction
problem.
GKDV equation, solitons, interaction, numerical simulation, finite differences scheme.