Bilinearization of Discrete Soliton Equations and Singularity Confinement

Abstract

Bilinear forms for some nonlinear partial difference equations(discrete soliton equations) are derived based on the results of singularity confinement. Using the bilinear forms, the N-soliton and algebraic solutions of the discrete potential mKdV equation are constructed.Comment: 14 pages, LaTe