Exact solutions of nonlinear generalizations of the wave equation |
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| Authors: | Philip B Burt |
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| Institution: | Department of Physics and Astronomy, Clemson University, Clemson, South Carolina 29631 U.S.A. |
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| Abstract: | Exact solutions of nonlinear generalizations of the wave equation are constructed. In some cases these solutions are solitary waves or solitions. Thus, by explicit construction solitons or solitary waves are shown to exist in dispersionless systems. In contrast to previous solitary wave solutions, these solutions are limiting cases of solutions of nonlinear partial differential equations with dispersion. |
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