Abstract Objective: The generalized Schrödinger–Hirota equation of the fourth order is
considered using the traveling wave solutions. Method: The compatibility of the …

Abstract Objective: The Generalized Schrödinger–Hirota equation with an arbitrary power of
nonlinearity is studied. Method: The compatibility of the overdetermined system of equation …

The main attention of this work focuses on dynamical behavior and optical solitons for the
dual-mode nonlinear Schrödinger equation with Kerr law nonlinearity. Here, we analytically …

In this article, highly dispersive optical solitons and other solutions in birefringent fibers are
reported with quadratic–cubic law and polynomial law of refractive index. The improved …

Partial differential equation of the sixth order for description of the propagation impulse in
nonlinear optics is considered at arbitrary refractive index. Exact solution of differential …

The family of the generalized Schrödinger equations with Kerr nonlinearity of unrestricted
order is considered. The solutions of equations are looked for using traveling wave …

In the ongoing study, the modified extended direct algebraic method (MEDAM) is used to
study an extended (2+ 1)-dimensional perturbed nonlinear Schrödinger equation (PNLSE) …

In this article, the integrability, bilinear form, N-soliton solutions, lump solutions and rational
function solutions of (2+ 1)-dimensional Kadomtsev-Petviashvili equation with variable …

In this article, nonlinear Schrödinger's equation with Kudryashov's quintuple power law of
refractive index is considered. The modified extended direct algebraic algorithm is …

We examine a coupled Radhakrishnan-Kundu-Lakshmanan (cRKL) equation that includes
self-phase modulation, third order dispersion, self-steepening, and cross-phase modulation …