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 …

In this paper, we study the perturbed nonlinear Schrödinger equation (P-NLSE) representing
the propagation of waves and may be regarded as a nonlinear complicated physical model …

Different analytical solutions for Sasa–Satsuma model equation (SSM) in birefringent fibers
are investigated in this research like rogue wave, lump, multi-wave, multiple breather …

The temporal-second-order KdV equation, which describes the propagation of two wave
modes with different phase velocities and same dispersion relation, nonlinearity and …

Purpose The purpose of this paper is to investigate a variety of Painlevé integrable
equations derived from a Hamiltonian equation. Design/methodology/approach The newly …

In this thesis, a celebrated theorem by Ibragimove about obtaining the conservation laws of
any differential equation is demonstrated in details. The theorem holds true in the case of …