Symbolic computation and abundant travelling wave solutions to KdV–mKdV equation
SYED TAHIR RAZA RIZVI KASHIF ALI ALI SARDAR MUHAMMAD YOUNIS AHMET BEKIR
Click here to view fulltext PDF
Permanent link:
https://www.ias.ac.in/article/fulltext/pram/088/01/0016
In this article, the novel $(G'/G)$-expansion method is successfully applied to construct the abundant travelling wave solutions to the KdV–mKdV equation with the aid of symbolic computation. This equation is one of the most popular equation in soliton physics and appear in many practical scenarios like thermal pulse, wave propagation of bound particle, etc. The method is reliable and useful, and gives more general exact travelling wave solutions than the existing methods. The solutions obtained are in the form of hyperbolic, trigonometricand rational functions including solitary, singular and periodic solutions which have many potential applications in physical science and engineering. Many of these solutions are new and some have already been constructed. Additionally, the constraint conditions, for the existence of the solutions are also listed.
SYED TAHIR RAZA RIZVI1 KASHIF ALI1 ALI SARDAR2 MUHAMMAD YOUNIS3 AHMET BEKIR4
Volume 96, 2022
All articles
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode
© 2021-2022 Indian Academy of Sciences, Bengaluru.