Nonlinear science is a fundamental science frontier that include studies and the common
properties of nonlinear phenomena. This article is devoted to the study of sub-pico second …

The influence of hydrostatic initial stress in the context of the time-fractional heat order
equation is investigated. The strong electromagnetic field is applied at the external surface …

In this work, an efficient novel technique, namely, the q-homotopy analysis transform method
(q-HATM) is applied to obtain analytical solutions for a system of time-fractional coupled …

This paper secures dark and singular resonant optical solitons that is studied with dual-
power law nonlinearity and fractional temporal evolution. Khalil's conformable fractional …

This study regards the time-fractional nonlinear Schrödinger equations (TFNLSEs). The
TFNLSE is used to depict nonlocal quantum phenomena in quantum physics and …

Singular manifold method is applied to solve nonlinear fractional partial differential
equations (NLFPDEs). Fractional complex transformation is firstly used to reduce the …

This paper proposes a numerical method to obtain an approximation solution for the time-
fractional Schrödinger Equation (TFSE) based on a combination of the cubic trigonometric B …

In this paper, we consider the time‐fractional order Schrödinger equation that is a
fundamental equation in fractional quantum mechanics. By using the spectral theorem, we …

Hirota bilinear (HB) equation in its (3+ 1)-dimensional form is considered and analyzed.
Travelling wave transformation has been employed to reduce the equation into an ordinary …

The time-fractional unstable nonlinear Schrödinger (NLS) equations capture the time
evolution of disturbances within media, tailored for describing phenomena in unstable …