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

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

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 strai...

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Bibliographic Details
Main Authors: W. Djoudi, A. Zerarka
Format: Article
Language:English
Published: Taylor & Francis Group 2016-12-01
Series:Cogent Mathematics
Subjects:
nonlinear soliton
travelling wave solutions
functional variable
homogeneous balance
KdV–mKdV
Online Access:http://dx.doi.org/10.1080/23311835.2016.1218405
Description
Summary: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.
ISSN:2331-1835

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