Conservation laws for perturbed solitons in optical metamaterials

Super-sech Soliton Dynamics in Optical Metamaterials with Generally Parabolic Law of Nonlinearity Using Lagrangian Variational Method

“…LVM is used to express the generalized GNLSE in terms of fondamental parameters (collective variables). This consists in finding the Lagrangian of GNLSE, then choosing any convenient trial function f (ansatz) assumed to best approximate the behaviour of the pulse in order to derive the set of variational equations [30,18,31,32,33,34,35]. Let's write the (1.4) in the form:…”

“…Recent work by Biswas et al has taken this additional term into account [18]. Similarly, Foroutan et al studied disturbances of the optical soliton in a metamaterial with an additional anti-cubic nonlinear term using two approaches: the extented trial equation method and the improved G'/G-expansion method.…”

New solitary solutions of perturbed optical metamaterial with Kerr law nonlinearity

“…Arnous et al [6] applied trial solution approach and Bäcklund transformation of Riccati equation to get bright, dark and singular soliton solutions of metamaterials. With the extensive study on optical metamaterials Biswas et al [7,8,9,10,11], have achieved new diversity of optical solutions such as bright, singular 1-soliton solution, topological soliton solution, rational solution, singular periodic solution and derived the conservation laws with the help of functional variable method, first integral approach, ansatz method, simplest equation approach, Kudryashov's method, (G /G)-expansion method and Lie symmetry analysis respectively.…”