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Numerical method for soliton solutions

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An iterative method is proposed for finding soliton solutions of the Korteweg–de Vries equation. The method also finds soliton solutions of other nonlinear evolution differential equations. The method is virtually independent of the specific nonlinearity of the operator. A feature of the method is the weak dependence of convergence on the form of the initial function.

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References

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    V. S. Laponin, N. P. Savenkova & V. P. Il’yutko

Authors
  1. V. S. Laponin
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  2. N. P. Savenkova
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  3. V. P. Il’yutko
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Correspondence to V. S. Laponin.

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Translated from Prikladnaya Matematika i Informatika, No. 38, pp. 18–30, 2011.

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Laponin, V.S., Savenkova, N.P. & Il’yutko, V.P. Numerical method for soliton solutions. Comput Math Model 23, 254–265 (2012). https://doi.org/10.1007/s10598-012-9135-0

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  • DOI: https://doi.org/10.1007/s10598-012-9135-0

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