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

We employ an enhanced version of a decomposition technique, an improved Adomian
decomposition method, and confirm computationally its high accuracy for a number of dark …

Abstract The (2+ 1)-dimensional generalized coupled nonlinear Schrödinger equation with
the four-wave mixing (FWM) term is studied in this paper, which describes the optical …

This paper applies exp-function expansion algorithm to secure to cubic-quartic dark and
singular optical solitons in birefringent fibers that are studied with four forms of nonlinear …

Featured Application The optical soliton solutions obtained in this research paper may be of
concern and useful in many fields of science, such as mathematical physics, applied …

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 …

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 …

The objective of this paper is to study the cubic-quartic embedded solitons with χ (2) and χ
(3) nonlinear susceptibilities having multiplicative white noise in the Itô sense. The unified …

This paper employs F-expansion scheme to secure bright, dark, singular and other combo
highly dispersive optical solitons when all orders of dispersion up to sixth order are taken …