Explicit and Exact Solutions to a Kolmogorov-Petrovskii-Piskunov Equation
arXiv:solv-int/9511005 · doi:10.1016/0020-7462(95)00064-X
Abstract
Some explicit traveling wave solutions to a Kolmogorov-Petrovskii-Piskunov equation are presented through two ansätze. By a Cole-Hopf transformation, this Kolmogorov-Petrovskii-Piskunov equation is also written as a bilinear equation and further two solutions to describe nonlinear interaction of traveling waves are generated. Bäcklund transformations of the linear form and some special cases are considered.
14pages, Latex, to appear in Intern. J. Nonlinear Mechanics, the original latex file is not complete
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