In this paper, our aim is to construct the novel wave structures for two non-linear evolution
equations which are rising in non-linear optics, mathematical biological models, fluid …

In this study, the sine-Gordon equation method is modified to deal with variable-coefficient
systems containing imaginary parts, such as nonlinear Schrödinger systems. These are of …

In this study, the generalized modified variable-coefficient KdV equation with external-force
term (gvcmKdV) describing atmospheric blocking located in the mid-high latitudes over …

In this paper, exact solutions of nonlinear Schrödinger equation with third-order dispersion
in constant potential are achieved. This equation plays an important role in mathematical …

The exact solutions of the (2+ 1) dimensional Broer–Kaup–Kupershmidt (BKK) system which
has been recommended to model the nonlinear and dispersive long gravity waves traveling …

The Ivancevic option pricing model comes as an alternative to the Black‐Scholes model and
depicts a controlled Brownian motion associated with the nonlinear Schrodinger equation …

In this work, we successfully employ two constructive mathematical tools such as the
extended rational sine-cosine/sinh-cosh and novel Φ 6-expansion model techniques, for …

This work aims to study new exact soliton solutions to the nonlinear Maccari's system using
the new extended direct algebraic method (NEDAM), the unified method, and the extended …

This article deals with the new solitons and other solutions to the modified nonlinear
Schrödinger equation (MNLSE) that represents the propagation of rogue waves in deep …

This manuscript examines the recently developed conformable three-dimensional Wazwaz–
Benjamin–Bona–Mahony (3D-WBBM) equation's dynamical behavior in terms of its spatial …