This research study investigates different structures and novel solitary wave solutions of to
the nonlinear fractional Lakshmanan–Porsezian–Daniel equation LPDE. The investigated …

A method for finding solitary wave solutions to nonlinear differential equations is presented.
A generalization for the logistic function to obtain a solitary wave solution is introduced …

This article possess lump, lump with one kink, lump with two kink, rogue wave and lump
interactions with periodic and kink solitons for the generalized unstable space time fractional …

Hierarchy of the perturbed nonlinear Schrödinger equations is considered. Nonlinear
differential equations of this hierarchy contain higher orders and can be used for description …

Based on ansatz functions technique, we construct many types of novel wave structures and
multiple lump-soliton solutions to the generalized Fitzhugh-Nagumo (gFN)-equation. In …

We investigate multiwave, homoclinic breather, M-shaped, Kink cross-rational, periodic
cross kink solutions for the nonlinear generalized Fornberg–Whitham (gFW)-equation by …

This article consist of a number of new soliton solutions for solving a complex nonlinear
equation describing dynamics of nonlinear chains of atoms with long-range interactions via …

Purpose: This study aimed to examine the effects of the parameters, the group velocity
dispersion (GVD), the third-order dispersion (3OD), spatio-temporal dispersion (STD), the …

This article retrieves multiple lump, periodic cross kink, rogue wave, multiwave, breathers, M-
shaped and interactional solutions for generalized Vakhnenko Parkes (gVP) equation via …

Abstract The Landau-Ginzburg-Higgs (LGH) equation explains the ocean engineering
models, superconductivity and drift cyclotron waves in radially inhomogeneous plasma for …