A multidimensional superposition principle: Classical solitons I

A concept that easily explains both classical solitonic and more complex wave interactions is proposed for differential equations. Nonlinear PDEs associated with the Riccati equations via 'truncated expansions' are considered, and the existence of the KdV-type soliton/kink is shown. Other interactions, including inelastic ones, are indicated. © 2001 Elsevier Science B.V.