Abstract The (2+ 1)-dimensional generalized coupled nonlinear Schrödinger equation with
the four-wave mixing (FWM) term is studied in this paper, which describes the optical …

In this article, we consider the problem formulation of dust plasmas with positively charge,
cold dust fluid with negatively charge, thermal electrons, ionized electrons, and immovable …

This article proposes a new approach to solving fuzzy M-fractional integrodifferential models
under strongly generalized differentiability using an innovative formulation of the …

A coupled space-time fractional nonlinear Schrödinger equation is solved by the fractional
Riccati method and fractional dual-function method. By choosing the appropriate values of …

Abstract A coupled (2+ 1)-dimensional variable coefficient Ginzburg–Landau equation is
studied. By virtue of the modified Hirota bilinear method, the bright one-soliton solution of the …

In this article, the principle of characterization is proposed as a new tool for solving uncertain
M-fractional differential problems under firmly generalized differentiability. The study …

In this research a new fractional-order derivative is defined and applied to the fractional
perturbed Chen–Lee–Liu nonlinear equation. Analytical soliton solutions are obtained by …

In this paper, the extended Jacobian elliptic function expansion method is implemented in
order to construct some new traveling wave solutions for the resonant nonlinear Schrödinger …

The fractional mapping equation method and fractional bi-function method are utilized to
study a (2+ 1)-dimensional space-time fractional nonlinear Schrödinger equation, and its …

Novel solutions for the nonlinear dynamics of Schrödinger equation for polynomial law
medium with third-order dispersion (TOD), fourth-order dispersion (FOD), and self …