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Superposition formulae for multisolitons. II. - The modified Korteweg-de Vries equation

Формулы суперпозици и для многосолитонны х решений. - II. Модифицированное уравнение Kортевега-д е Фриза

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Il Nuovo Cimento B (1971-1996)

Summary

Following our work on the sine-Gordon equation we present nonlinear and linear superposition formulae for multisoliton solutions of the modified Korteweg-de Vries equation.

Riassunto

In seguito al nostro lavoro sull’equazione di sine-Gordon si presentano formule di sovrapposizione nonlineari e lineari per le soluzioni del multisolitone dell’equazione modifieata di Korteweg-de Vries

Резюме

Следуя нашей предыду щей работе для уравнения сайн-Гордо на, мы предлагаем формулы н елинейной и линейной суперпозиции для мно госолитонных решений модифициров анного уравнения Kорт евега-де Фриза.

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References

  1. A. C. Bryan, J. F. Miller andA. E. G. Stuart:Nuovo Cimento B,101, 637 (1988).

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  2. G. L. Lamb:Elements of Soliton Theory (Wiley, New York, N.Y. 1980).

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  3. M. Wadati:J. Phys. Soc. Jpn.,32, 1681 (1972).

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Authors and Affiliations

  1. Department of Mathematics, The City University, Northampton Square, ECFV OHB, London, England

    A. C. Bryan, J. F. Miller & A. E. G. Stuart

Authors
  1. A. C. Bryan
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  2. J. F. Miller
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  3. A. E. G. Stuart
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Bryan, A.C., Miller, J.F. & Stuart, A.E.G. Superposition formulae for multisolitons. II. - The modified Korteweg-de Vries equation. Nuov Cim B 101, 715–720 (1988). https://doi.org/10.1007/BF02743627

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  • DOI: https://doi.org/10.1007/BF02743627

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