Title

On some classess of linearizable reaction-convection-diffusion equations

RIS ID

88371

Publication Details

Rodrigo, M. & Mimura, M. (2004). On some classess of linearizable reaction-convection-diffusion equations. Analysis and Applications, 2 (1), 11-19.

Abstract

In this paper, we consider the class of equations ut = [F(x,u)ux + G(x, u)]x + H(x, u). Using hodograph and dependent variable transformations, we determine sufficient conditions on F, G, and H such that this equation is linearizable. We also derive a general quasilinear equation, which includes the Clarkson-Fokas-Ablowitz equation (SIAM J. Appl. Math. 49 (1989), 1188-1209), that can be transformed into semilinear form.

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Link to publisher version (DOI)

http://dx.doi.org/10.1142/S0219530504000266