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A Numerical Method for Constructing a Self-Similar Isolated Wave Solution |
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| Authors: | E. S. Kurkina and A. V. Malykh |
| Abstract: | An efficient numerical algorithm is developed for constructing self-similar isolated wave or switching wave solutions. The algorithm is developed for the well-known Kolmogorov–Petrovskii–Piskunov (KPP) problem, which has a switching-wave analytical solution, and is applied to construct an isolated traveling pulse in the four-component reaction–diffusion model. |
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