Abstract
This paper obtains the soliton solutions of the Gilson–Pickering equation. The G′/G method will be used to carry out the solutions of this equation and then the solitary wave ansatz method will be used to obtain a 1-soliton solution of this equation. Finally, the invariance and multiplier approach will be applied to recover a few of the conserved quantities of this equation.
Acknowledgements
The third author (Marko D. Petković) gratefully acknowledges support from research project 144011 of the Serbian Ministry of Science. The research of the fourth author (AB) was fully supported by an NSF-CREST Grant (No. HRD-0630388) and the support is genuinely and sincerely appreciated.