Now showing items 1-5 of 5
Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach [Article]
The existence of stationary solitary waves in symmetric and non-symmetric complex potentials is studied by means of Melnikov’s perturbation method. The latter provides analytical conditions for the existence of such waves ...
Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric Potentials [Chapter of Book]
(Springer Nature Singapure, 2018)
The subject of PT -symmetry and its areas of application have been blossoming over the past decade. Here, we consider a nonlinear Schrödinger model with a complex potential that can be tuned controllably away from being ...
PT-symmetric sine-Gordon breathers [Article]
In this work, we explore a prototypical example of a genuine continuum breather (i.e., not a standing wave) and the conditions under which it can persist in a -symmetric medium. As our model of interest, we will explore ...
PT -Symmetric dimer in a generalized model of coupled nonlinear oscillators [Article]
In the present work, we explore the case of a general PT -symmetric dimer in the context of two both linearly and nonlinearly coupled cubic oscillators. To obtain an analytical handle on the system, we first explore ...
Sine-Gordon Equation: From Discrete to Continuum [Chapter of Book]
(Springer International Publishing, 2014)
In the present Chapter, we consider two prototypical Klein-Gordon models: the integrable sine- Gordon equation and the non-integrable φ4 model. We focus, in particular, on two of their prototypical solutions, namely the ...