Transformation and interactions among solitons in metamaterials with quadratic-cubic nonlinearity and inter-model dispersion

Abstract

In this paper, we investigate multiple soliton interactions and other solitary wave solutions (SWS) for a perturbed nonlinear Schrödinger equation (NLSE) with negative index material having quadratic-cubic nonlinearity (NLSE-QCN). Due to its high order dispersion term, this model yields sub-picosecond impulses useful in mode-locked ring lasers. Hirota bilinear method (HBM) will be used to study soliton interaction. By controlling the parameters, we will obtain [Formula: see text], [Formula: see text], parabolic and anti-parabolic, butterfly, bright and dark shaped solitons. On the other hand, we will obtain some other solitary wave solutions with the help of Sine-Gordon expansion (SGE) scheme.

Automobile information modeling based on nonlinear multisensor coupling

“…Black box modeling is a modeling method that does not rely on complex physical or chemical models. It can achieve high accuracy and has been widely applied in many fields [1] . Among them, PLSR (Partial Least Squares Regression) is a very important black box modeling method.…”