On some classess of linearizable reaction-convection-diffusion equations

Authors

Marianito R. Rodrigo, Instituto Tecnologico Autonomo de MexicoFollow
M Mimura, Hiroshima University

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.