A multidimensional superposition principle: classical solitons III

Abstract

The existence of solitons associated with finite expansions analogous to traditional truncated singular manifold series is shown in the framework of the multidimensional superposition principle. Two nonlinear PDEs possessing such soliton solutions, which can be assigned to the reaction-diffusion type, are presented as examples. (C) 2004 Elsevier B.V. All rights reserved