Interactions of traveling fronts: An exact solution of a nonlinear diffusion equation |
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| Authors: | Takuji Kawahara Mitsuhiro Tanaka |
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| Institution: | Department of Physics, Faculty of Science, Kyoto University, Kyoto 606, Japan |
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| Abstract: | An exact solution which describes the coalescence of two traveling fronts of the same sense into a front connecting two stable constant states is found in terms of the direct method for a simple nonlinear diffusion equation. Head-on collisions of two fronts of opposite sense are also examined numerically. |
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