
%0 Journal Article
%A Roessler, J 
%T Application of Melnikov's Method to the Reduced KdV Equation
%J Australian Journal of Physics
%D 1991/02/01
%V 44
%N 1
%P 15-32
%K 
%R https://doi.org/10.1071/PH910015
%U https://www.publish.csiro.au/paper/PH910015 
%X The Melnikov method for estimating distances between invariant manifolds is applied to the perturbed system of ordinary differential equations obtained from the KdV equation, reduced by a travelling wave ansatz and including a diffusion term. The calculation is performed after one integration and the result is compared with numerical work carried out on the full system. 
