A systematic method to construct polynomials possessing linear superposition principle and dispersion relation

摘要

In this paper, we study the polynomials possessing the linear superposition principle (LSP) and dispersion relation. A necessary and sufficient condition is given for polynomials possessing LSP and dispersion relation. Basing on the condition we proposes a method for constructing that kind of polynomials. As applications of the method some examples are presented.