Travelling wave solutions to a higher order KdV equation
Abstract
This paper presents a direct method for the construction of travelling wave solutions to a higher order KdV equation. The method is based on a general form of solution to both the KdV equation and the fifth order KdV equation (FKdV). In this approach a number of unknown constants are involved, and it is shown that the equations governing them are properly determined. The form of the solution depends on the signs of the coefficients b and c in the higher order KdV equation.
 Publication:

Chaos Solitons and Fractals
 Pub Date:
 1991
 DOI:
 10.1016/09600779(91)90008W
 Bibcode:
 1991CSF.....1..187J
 Keywords:

 KortewegDevries Equation;
 Problem Solving;
 Traveling Waves;
 Lc Circuits;
 Nonlinear Equations;
 Shallow Water;
 Physics (General)