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Advances in Differential Equations and Control Processes

Advances in Differential Equations and Control Processes
Volume 19, Issue 1, Pages 37 - 48 (February 2018)
http://dx.doi.org/10.17654/DE019010037

THE INTEGRAL NORMAL FORM OF A THREE-DIMENSIONAL TRAVELING WAVE SOLUTION MAPPING DERIVED FROM GENERALIZED ΔΔ-MKDV EQUATION

L. Zakaria, Notiragayu, A. Nuryaman and S. Suharsono

Abstract:

The integrability of traveling wave solution mappings can be obtained as reductions of the discrete generalized DD modified Korteweg-de Vries (DD-mKdV) equation. The properties of the integrable discrete dynamical system can be examined through the level set of integral function. In this paper, we show that the integral of a three-dimensional traveling wave solution mapping derived from generalized DD-mKdV equation can be made in the normal form.