• A new combined soliton solution of the modified Korteweg–de Vries equation

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      https://www.ias.ac.in/article/fulltext/pram/094/0123

    • Keywords

       

      Modified Korteweg–de Vries equation; combined soliton solution; soliton dynamics.

    • 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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  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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