We study two specific features of onsite breathers in Nonlinear Schrödinger systems on d-dimensional cubic lattices with arbitrary power nonlinearity (i.e., arbitrary nonlinear exponent, n): their wavefunctions and energies close to the anti-continuum limit – small hopping limit – and their excitation thresholds. Exact results are systematically compared to the predictions of the so-called expo...

The propagation of optical soliton profiles in plasma physics and atomic structures is represented by the (1+1)− dimensional Schrödinger dynamical equation, which subject this study. New solitary wave are discovered using Nucci’s scheme a new extended direct algebraic method. approach provides an easy general mechanism for covering 37 solitonic solutions, roughly corresponds to all families, re...

The most recent theoretical studies have shown that three-dimensional (3-D) radiation effects play an important role in the optical remote sensing of atmospheric aerosol and land surface reflectance. These effects may contribute notably to the error budget of retrievals in a broad range of sensor resolutions, introducing systematic biases in the land surface albedo data sets that emerge from th...

In this study, we use an effective meshless method to estimate the numerical solution of 3-D time-fractional Sobolev equation. The recommended is used for spatial derivatives while Liouville-Caputo derivative technique utilized time portion model Accuracy assessed via error norms and comparison made with exact other methods given in more current literature, which demonstrated that suggested str...

Least squares approximation is a technique to find an approximate solution to a system of linear equations that has no exact solution. In a typical setting, one lets n be the number of constraints and d be the number of variables, with n d. Then, existing exact methods find a solution vector in O(nd2) time. We present two randomized algorithms that provide accurate relative-error approximations...

A bstract We generalize the nested off-diagonal Bethe ansatz method to study quantum chain associated with twisted $$ {D}_3^{(2)} D 3 2 algebra (or model) either periodic or integrable open boundary conditions. obtain ...