Ryan Sassaman, Delaware State University


Soliton perturbation Theory and generalized Klein-Gordon equation

Abstract: n this talk, the soliton perturbation theory will be used to obtain the adiabatic variation of the soliton velocity for the phi-four model and three forms of nonlinear Klein-Gordon equations. Additionally, the generalized Klein-Gordon equation will be looked into. The 1-soliton solution will be obtained for five forms of the generalized nonlinear Klein-Gordon equation. The integrals of motion will also be calculated for each of these five forms using the 1-soliton solution.

Advisor: Anjan Biswas (Delaware State University)