We study a class of Lakshmanan–Porsezian–Daniel equations endowed with a cubic–
quartic nonlinearity. A highly efficient improved Adomian decomposition approach is …

In this article, an amelioration of the approaches namely the new extended direct algebraic
method for solving the nonlinear conformable fractional Schrödinger-Hirota equation (FSHE) …

The present study suggests a large family of optical solutions to the Kundu–Eckhaus model.
Modified form of an auxiliary equation approach have been used to set the solution families …

In this scholarly exploration, we employ new map** method to unveil new soliton solutions
to the nonlinear fractional Kudryashov's equation, using β-derivative and M-Truncated …

Darboux transformation is an efficient method for solving different nonlinear partial
differential equations. In this paper, on the basis of a Lie super-algebras, a generalized …

This paper considers the Biswas–Arshed equation (BAE) with the beta time derivative and
investigates its optical solitons and other solutions in the presence of high order dispersions …

The dynamics of solitons in the perturbed Gerdjikov–Ivanov (PGI) equation is explored in the
current work. The investigation is carried out formally by considering particular …

The perturbed nonlinear Schrödinger equation with dispersion terms of all orders and
containing Kudryashov's sextic power law of self phase modulation is studied. We obtain …

Abstract The Fokas–Lenells (FL) equation that describes the soliton dynamics precisely in
waveguides is investigated in the present paper. The planned goal is performed by utilizing …

This study reveals the dark, bright, combined dark–bright, singular optical solitons and other
solutions to the conformable space–time fractional Fokas–Lenells equation. We use two …