Interactions of traveling fronts: An exact solution of a nonlinear diffusion equation
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 numeri...
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| Published in | Physics letters. A Vol. 97; no. 8; pp. 311 - 314 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Amsterdam
Elsevier B.V
01.09.1983
Elsevier Science |
| Subjects | |
| Online Access | Get full text |
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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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| AbstractList | 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. |
| Author | Kawahara, Takuji Tanaka, Mitsuhiro |
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| Keywords | Non linear equation Evolution equation Diffusion equation |
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| References | Kuramoto, Yamada (BIB3) 1976; 56 Newell, Whitehead (BIB2) 1969; 38 Aronson, Weinberger (BIB1) 1975; Vol. 446 Aronson (10.1016/0375-9601(83)90648-5_BIB1) 1975; Vol. 446 Newell (10.1016/0375-9601(83)90648-5_BIB2) 1969; 38 Kuramoto (10.1016/0375-9601(83)90648-5_BIB3) 1976; 56 |
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| Title | Interactions of traveling fronts: An exact solution of a nonlinear diffusion equation |
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