Ali Reza Olamaei
Jahrom University, Jahrom 74135-111, Iran
[ 1 ] - Soliton-like Solutions of the Complex Non-linear Klein-Gordon Systems in 1 + 1 Dimensions
In this paper, we present soliton-like solutions of the non-linear complex Klein-Gordon systems in 1+1 dimensions. We will use polar representation to introduce three different soliton-like solutions including, complex kinks (anti-kinks), radiative profiles, and localized wave-packets. Complex kinks (anti-kinks) are topological objects with zero electrical charges. Radiative profiles are object...
[ 2 ] - Introducing Stable Real Non-Topological Solitary Wave Solutions in 1+1 Dimensions
By adding a proper term to the Lagrangian density of a real non-linear KG system with a proposed non-topological unstable solitary wave solution, its stability guaranteed appreciably. This additional term in the new modified Lagrangian density behaves like a strong internal force which stands against any arbitrary small deformation in the proposed non-topological solitary wave solution.
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