There have been significant advancements in the field of surface-enhanced Raman
spectroscopy (SERS). Despite being an ultra-sensitive analytical technique, challenges …

In this research, we investigate the numerical solution of nonlinear Schrödinger equations in
two and three dimensions. The numerical meshless method which will be used here is RBF …

In this work, we use two different analytic schemes which are the Sine-Gordon expansion
technique and the modified exp-expansion function technique to construct novel exact …

Metasurfaces have shown great potential in versatile areas such as vortex-beam generators,
metalenses, holograms and so on. However, chromatic error hinders metasurfaces …

We investigate prospects of using counter-rotating vortex superposition states in
nonequilibrium exciton-polariton Bose-Einstein condensates for the purposes of Sagnac …

In this paper, a high-efficient, split-step, and implicit corrected parallel smoothed particle
hydrodynamics (SS-ICPSPH) method is developed to simulate the dynamic systems of …

Explicit absorbing boundary conditions (ABCs) are presented for the recently developed
Generalized Finite-Difference Time-Domain (G-FDTD) method for solving the nonlinear …

This paper proposes a novel hybrid FDTD method for solving the time-dependent
Schrödinger equation, which is fundamental for modeling materials and designing …

Self-imaging in near-field diffraction is a practical application of coherent manipulation of
matter waves in Talbot interferometry. In this work, near-field diffraction of protons by a …

We develop a high accuracy power series method for solving partial differential equations
with emphasis on the nonlinear Schrödinger equations. The accuracy and computing speed …