ON SOME GENERALIZATIONS OF BOUSSINESQ AND KdV SYSTEMS
Gérard A. Maugin · Proceedings of the Estonian Academy of Sciences Physics Mathematics · 1995
We present basic arguments of quasi-particles (endowed with mass, momentum, and energy) to study the essential solitonic features of the Boussinesq-Korteweg-de Vries model and some of its generalizations: regularized long-wave equation, generalized Boussinesq model, and nonlinear Maxwell-Rayleigh model.Hamiltonian descriptions and associated global conservation laws are given for all these systems.The so-called wave momentum (also called pseudomomentum, or canonical momentum in the absence of dissipation) plays a prominent role in this formulation as it provides the equation of motion of solitons or soliton-like structures.