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<p>A method for the approximate solution of the scattering problem for the Zakharov-Shabat system with a finitely supported potential is presented, based on the construction of the Delsarte transmutation operators. For the solutions of the Zakharov-Shabat system functional series representations are obtained in the form of the Neumann series of Bessel functions. The representations lend themselves for the numerical computation.</p>

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SOLUTION OF THE ZAKHAROV-SHABAT SYSTEM IN TERMS OF NEUMANN SERIES OF BESSEL FUNCTIONS

  • 期刊论文

  • 发表日期：

    2025年1月11日

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  • Vladislav V. Kravchenko,
  • L. Estefania Murcia-Lozano

摘要

A method for the approximate solution of the scattering problem for the Zakharov-Shabat system with a finitely supported potential is presented, based on the construction of the Delsarte transmutation operators. For the solutions of the Zakharov-Shabat system functional series representations are obtained in the form of the Neumann series of Bessel functions. The representations lend themselves for the numerical computation.