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<p>In this paper, we examine solutions of the moving-front-type for a two-dimensional reaction-diffusion equation with cubic nonlinearity and propose a method for obtaining asymptotic approximations of moving fronts propagating in a medium with discontinuous characteristics is presented. The basic features arising in solving the two-dimensional problem are discussed.</p>

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FEATURES OF THE MOVING-FRONT SOLUTION FOR A TWO-DIMENSIONAL PROBLEM WITH A DISCONTINUOUS CUBIC NONLINEARITY

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • E. A. Chunzhuk

摘要

In this paper, we examine solutions of the moving-front-type for a two-dimensional reaction-diffusion equation with cubic nonlinearity and propose a method for obtaining asymptotic approximations of moving fronts propagating in a medium with discontinuous characteristics is presented. The basic features arising in solving the two-dimensional problem are discussed.