Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
758666 | Communications in Nonlinear Science and Numerical Simulation | 2015 | 6 Pages |
Abstract
•Rosenau–Hyman equations with time- and space-dependent coefficients.•Exact time-dependent solutions for vcK(1, 1), vcK(2, 2), and vcK(3, 3) equations.•Similarity solution related to rarefaction shock wave phenomena.
In this work we study Rosenau–Hyman-like equations that were obtained by imposing the Lie point symmetry algebra of standard KdV to a general K(m,n)K(m,n) equation with variable coefficients. We present time-dependent exact solutions for suited choices of parameters m and n, including the similarity solution related to rarefaction shock wave phenomena.
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Authors
Wescley Luiz de Souza, Érica de Mello Silva,