Nonlinear Analysis (Jul 2014)

Solitary wave solutions for a generalized KdV–mKdV equation with distributed delays

  • Zengji Du,
  • Dandan Wei,
  • Ying Xu

DOI
https://doi.org/10.15388/NA.2014.4.2
Journal volume & issue
Vol. 19, no. 4

Abstract

Read online

This paper deals with a generalized KdV–mKdV equation with time delay. By employing the geometrical singular perturbation theory and the linear chain trick, we establish the existence result of solitary wave solutions when the average delay is sufficiently small, for a special convolution kernel.

Keywords