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<p>A solution to the Cauchy problem for generalized Korteweg de Vries equations with variable coefficients is constructed in the case where noise is superimposed on a nonlinear term or a dispersion term of the equation. In particular, a solution to the Cauchy problem for a deterministic generalized Korteweg de Vries equation is found.</p>

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ON THE CAUCHY PROBLEM OF STOCHASTIC AND DETERMINISTIC EQUATIONS OF KORTEWEG DE VRIES TYPE

  • 期刊论文

  • 发表日期：

    2025年4月10日

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  • Farit Nasyrov,
  • Dilara Suchkova

摘要

A solution to the Cauchy problem for generalized Korteweg de Vries equations with variable coefficients is constructed in the case where noise is superimposed on a nonlinear term or a dispersion term of the equation. In particular, a solution to the Cauchy problem for a deterministic generalized Korteweg de Vries equation is found.