To generate different optical soliton solutions of the Paraxial wave equation with fractional
time dependence, a well-known Sardar-subequation technique is used. The M-truncated …

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 implements the unified method to the conformable time fractional non
linear Schr o¨ dinger equation with perturbation terms. Reduction of the governing equation …

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 article, the soliton solutions of the nonlinear Lakshmanan–Porsezian–Daniel (LPD)
model are extracted, using generalized projective Riccati equations method. The proposed …

In this paper, we examine a modified auxiliary equation method. We applied this novel
method on Wu-Zhang system. This model used to describe (1+ 1)-dimensional dispersive …

Abstract The Sine-Gordon expansion method is implemented to construct exact solutions
some conformable time fractional equations in Regularized Long Wave (RLW)-class …

In this paper, a new generalized exponential rational function method is employed to extract
new solitary wave solutions for the Zakharov–Kuznetsov equation (ZKE). The ZKE exhibits …

In this work, the KdV equation with conformable derivative and dual-power law nonlinearity
is considered. It is exceedingly used as a model to depict the feeble nonlinear long waves in …

In this paper, new exact analytical solutions of time-fractional Phi-4 equation are developed
using extended direct algebraic method by means of conformable fractional derivative. The …