In this paper, a nonlocal Lakshmanan-Porsezian-Daniel equation is investigated with the help of the binary Darboux transformation (DT) method and asymptotic analysis. We derive the formulas of the Nth-order solutions through the binary DT, where N is a positive integer. Under certain conditions,...

The coupled inhomogeneous nonlinear Schrödinger-type system which can be used to control soliton propagation and interaction in certain plasmas and optical fibers is investigated. An improved method for Darboux transformation (DT) is presented in more general forms by constructing an improved...

The inhomogeneous nonlinear Schrödinger-type (NLS) model from certain plasmas and optical fibers is investigated with symbolic computation. An improved Γ-Riccati Bäcklund transformation (Γ-R BT) is presented, which can generate successively a hierarchy of solutions through algebraic...

There has been considerable interest in the study on the variable-coefficient nonlinear evolution equations in recent years, since they can describe the real situations in many fields of physical and engineering sciences. In this paper, a generalized variable-coefficient KdV (GvcKdV) equation...

The wave propagation on an ocean or water surface in the presence of sea ice or surface tension is of current importance. In this paper, we investigate the (2 + 1) dimensional 6th-order model proposed recently by Hărăgus-Courcelle and Il’ichev for such wave propagation. Firstly, we correct...

Describing space and laboratory plasmas, arterial mechanics and optical fibers, a generalized variable-coefficient nonlinear Schrödinger model is hereby under investigation. Four transformations have been constructed from such a model to the known standard and cylindrical nonlinear Schrödinger...

Ownership type, legal system evolution and their interaction significantly affect the incentives and behaviors of independent directors. We use the 2019 Securities Law revision as an exogenous shock to examine how state-owned enterprises (SOEs) versus non-SOEs and their independent directors...

Using a sample of 1,103 Chinese private-sector firms that went public during 2004-2016, we find that founders from the country’s regions with stronger collectivist cultures engage more family members as managers, retain more firm ownership within the family, and share the controlling ownership...