The propagation of optical solitons via nonlinear metamaterials with cubic-quintic
nonlinearity, detuning intermodal dispersion, self steepening effect, and nonlinear third and …

In this paper, we obtain the exact traveling solutions of the M-fractional generalized reaction
Duffing model and density dependent M-fractional diffusion reaction equation by using three …

In quantum field theory, the fractional Kundu-Eckhaus and massive Thirring models are
nonlinear partial differential equations under fractional sense inside nonlinear Schrödinger …

This paper explores the new (3+ 1)-dimensional nonlinear Schrödinger equation which is
used to model the propagation of ultra-short optical pulses in highly-nonlinear media. This …

New dual-wave soliton solutions are addressed for the two-mode Sawada-Kotera (TmSK)
equation arising in fluids by the modified Kudryashov and new auxiliary equation methods …

In the present paper, the improved modified extended tanh-function method is employed to
get new exact traveling wave solutions for the doubly dispersive model. Several types of …

This paper studies the new families of exact traveling wave solutions with the modified
nonlinear Schrödinger equation, which models the propagation of rogue waves in ocean …

Biswas–Milovic equation is used to narrate the nonlinear dynamics of optical solitons in
nonlinear optics. With the aid of new extended auxiliary method, we find Jacobi elliptic …

The (2+ 1)-dimensional hyperbolic and cubic-quintic nonlinear Schrödinger equations
describe the propagation of ultra-short pulses in optical fibers of nonlinear media. By using …

The main objective of current paper is to examine the impacts of fractional parameters on the
dynamic response of soliton waves in a nonlinear time-fractional thin-film ferroelectric …