3 citations · 6 across the 18 of their papers we have counts for
19 papers
Nonlinear waves: a review Vector pulse and the generalized perturbative reduction method
G. T. Adamashvili
In this review, a more general theory of self-induced transparency (SIT) in comparison with the theory of McCall and Hahn is considered. Using the recently developed generalized pe…
Two-component nonlinear wave solutions of the sixth-order generalised Boussinesq-type equations
G. T. Adamashvili
Two different versions of cubic sixth-order generalised Boussinesq-type wave equations are considered in this study. A generalised perturbation reduction method is used to solve th…
Two-component nonlinear waves
G. T. Adamashvili
The generalized equation for the study of two-component nonlinear waves in different fields of physics is considered. In special cases, this equation is reduced to a set of the var…
Two-component breather solution of the nonlinear wave equation
G. T. Adamashvili
A nonlinear wave equation that describes different nonlinear effects in various fields of research was considered. In two particular cases, this equation was reduced to the Sine-Go…
Two-component breather solution of the nonlinear Klein-Gordon equation
G. T. Adamashvili
The generalized perturbative reduction method is used to find the two-component vector breather solution of the nonlinear Klein-Gordon equation. It is shown that the nonlinear puls…
Two-component nonlinear wave of the Born-Infeld equation
G. T. Adamashvili
The generalized perturbative reduction method is used to find the two-component vector breather solution of the Born-Infeld equation $ U_{tt} -C U_{zz} = - A U_{t}^{2} U_{zz} - σU_…