In this paper, a wide range of new exact solutions of the Kraenkel–Manna–Merle (KMM)
system is investigated. To study this, we have considered two analytical methods namely the …

We apply the unified method to retrieve optical soliton solutions of the Biswas–Arshed model
(BAM) with the Kerr law nonlinearity in this paper. We first derive the ordinary differential …

We present the unified method and use it to integrate the ion sound and Langmuir waves
(ISLW) model to retrieve optical soliton solutions. Some new dynamical optical solitons …

In this work, we perform a comprehensive analytical study to find the novel exact traveling
wave solutions of the\(2+ 1\)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony …

The motive of this research work is to unravel the mysteries of nature through fractional-
order partial differential equations (PDEs). Here, we focus on two important fractional order …

We are interested in studying a Biswas–Milovic equation from various aspects. We prove
that it does not have Painlevé property, and hence, it is non-integrable in Painlevé sense …

In this work, we study a time-fractional ion sound and Langmuir waves system (FISLWS) with
Atangana–Baleanu derivative (ABD). We use a fractional ABD operator to transform our …

In this paper, the newly derived solutions for the optical soliton of Kerr law nonlinearity form
of Biswas–Arshed model are investigated. The exact solutions are extracted by deploying …

This study retrieves optical soliton outcomes from the ion sound and Langmuir wave (ISLW)
structure used in birefringent fibres. With the improved Kudryashov, novel Kudryashov and …

Electrostatic nonlinear random Langmuir structures have been propagated in stochastic
magnetospheres, clouds and solar wind. A theoretical description of Langmuir waves can be …