Abstract
In this paper, the Riemann–Hilbert problem of the modified Korteweg–de Vries (mKdV) equation is studied, from which a new combined soliton solution is obtained. In addition, to illustrate the dynamics of the new combined soliton solution, an algebra technique is developed to demonstrate the soliton interactions using Mathematica symbolic computations. The proposed method is effective in deriving and investigating new soliton solutions of the mKdV equation. The results also expand the understanding of the soliton structure of the mKdV equation.
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Acknowledgements
The author is very grateful to the editor and the anonymous referees for their valuable suggestions. The author would also like to thank the support by the Collaborative Innovation Center for Aviation Economy Development of Henan Province.
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Wu, J. A new combined soliton solution of the modified Korteweg–de Vries equation. Pramana - J Phys 94, 123 (2020). https://doi.org/10.1007/s12043-020-01958-1
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DOI: https://doi.org/10.1007/s12043-020-01958-1