Nuovo Cimento Della Societa Italiana Di Fisica A-Nuclei Particles And Fields 105, 895-898 (1992)

Quadratic form and semigroups of solitons of the korteweg-devries equation

V. X. Minh

In this paper we establish the quadratic form of N-solitons of the Korteweg-de-Vries equation and point out three commutative semigroups on the set of its solitons. The quadratic form is convenient for the quality analysis of solitons. The semigroups can be extended to an algebra.