In this paper, we are concerned with the Riemann–Hilbert approach for the higher-order
Gerdjikov–Ivanov equation with nonzero boundary conditions. A uniformization variable will …

In this communication, three different forms of fractional nonlinear Schrödinger equations
have been constructed based on the notion of nonlocal generalized fractional momentum …

This paper presents a new study that incorporates the Stratonovich integral and conformal
fractional derivative into the fractional stochastic Bogoyavlenskii equation with multiplicative …

This study employed the planar dynamics system method to investigate the chaotic behavior
and traveling wave solution of the fractional stochastic Zakharov system arising in plasma …

In this topical review paper we provide a survey of classical and more recent results on the
IST for one-dimensional scalar, vector and square matrix NLS systems on the line (-∞< …

In this paper, using the algorithm due to Ablowitz et al.[Phys. Rev. Lett. 128, 184101 (2022);
J. Phys. A: Math. Gen. 55, 384010 (2022)], we explore the anomalous dispersive relations …

The inverse scattering transform allows explicit construction of solutions to many physically
significant nonlinear wave equations. Notably, this method can be extended to fractional …

Integrable fractional equations such as the fractional Korteweg-deVries and nonlinear
Schrödinger equations are key to the intersection of nonlinear dynamics and fractional …

We study the fractional three-dimensional (3D) nonlinear Schrödinger equation with
exponential saturating nonlinearity. In the case of the Levy index α= 1. 9, this equation can …

The existence of solutions with localized solitary wave structures is one of the significant
characteristics of nonlinear integrable systems. Darboux transformation (DT) is a well-known …