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<p>In this article, we study the inverse scattering problem for the nonlinear fractional Helmholtz equation with cubic nonlinearity in three dimensions, where we recover a compactly supported potential from scattering amplitude. We further extend the same result in spatial dimension 4 also.</p>

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On a nonlocal non-linear inverse scattering problem

  • 期刊论文

  • 发表日期：

    2026年8月4日

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  • Saumyajit Das,
  • Susovan Pramanik

摘要

In this article, we study the inverse scattering problem for the nonlinear fractional Helmholtz equation with cubic nonlinearity in three dimensions, where we recover a compactly supported potential from scattering amplitude. We further extend the same result in spatial dimension 4 also.