Exact solutions for the KdV���mKdV equation with time-dependent coefficients using the modified functional variable method

W. Djoudi, A. Zerarka, Carlo Cattani
2016 Cogent Mathematics  
In this article, the functional variable method (fvm for short) is introduced to establish new exact travelling solutions of the combined KdV-mKdV equation. The technique of the homogeneous balance method is used in second stage to handle the appropriated solutions. We show that, the method is straightforward and concise for several kinds of nonlinear problems. Many new exact travelling wave solutions are successfully obtained.
doi:10.1080/23311835.2016.1218405 fatcat:mci5mecs2veudbfn7jgqgqwbue