Traveling wave solutions of nonlinear partial differential equations |
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Authors: | R. M. Gundersen |
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Affiliation: | (1) 5801 N. Sheridan Road, 60660 Chicago, IL, USA |
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Abstract: | Elementary transformations are utilized to obtain traveling wave solutions of some diffusion and wave equations, including long wave equations and wave equations the nonlinearity of which consists of a linear combination of periodic functions, either trigonometric or elliptic. In particular, a theorem is established relating the solutions of a single cosine equation and a double sine-cosine equation. It is shown that the latter admits a Bäcklund Transformation. |
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