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Traveling wave solutions of nonlinear partial differential equations

✍ Scribed by R. M. Gundersen

Publisher
Springer
Year
1990
Tongue
English
Weight
649 KB
Volume
24
Category
Article
ISSN
0022-0833

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✦ Synopsis

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 Backlund Transformation.

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