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Nonlinear wave equations and singular solutions |
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| Authors: | Hideshi Yamane |
| Affiliation: | Department of Physics, Kwansei Gakuin University, Gakuen 2-1, Sanda, Hyougo 669-1337, Japan |
| Abstract: | We construct solutions to nonlinear wave equations that are singular along a prescribed noncharacteristic hypersurface, which is the graph of a function satisfying not the Eikonal but another partial differential equation of the first order. The method of Fuchsian reduction is employed. |
| Keywords: | Nonlinear wave equation nonlinear Fuchsian equation singular Cauchy problem |
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