In this paper, a generalized nonlinear Schrödinger equation with variable dispersion and
nonlinear coefficients, which can be used to describe the pulse transmission in …

In this paper, we use the similarity transformation to reduce the generalized higher-order
nonlinear Schrödinger equation with space-and time-modulated coefficients incorporating …

Under investigation in this paper is a (2+ 1)-dimensional nonlinear Schrödinger equation
(NLS), which is a generalisation of the NLS equation. By virtue of Wronskian determinants …

Optical solitons generated from fiber lasers have been extensively investigated for their
good stability, narrow pulse width and high peak power, which play an indispensable role in …

Analytical Light Bullet Solutions to the Generalized š3 ž 1Ž-Dimensional Nonlinear
Schrödinger Equation Page 1 Analytical Light Bullet Solutions to the Generalized š3 ž 1Ž-Dimensional …

We discover analytically an extensive family of optical similaritons, propagating inside
graded-index nonlinear waveguide amplifiers. We show that there exists a one-to-one …

We present, analytically, self-similar rogue wave solutions (rational solutions) of the
inhomogeneous nonlinear Schrödinger equation (NLSE) via a similarity transformation …

Binary Bell polynomials are extended to systematically construct bilinear formalism, bilinear
Bäcklund transformations, Lax pairs with multi-parameters and infinite conservation laws of …

Describing space and laboratory plasmas, arterial mechanics and optical fibers, a
generalized variable-coefficient nonlinear Schrödinger model is hereby under investigation …

An improved homogeneous balance principle and an F-expansion technique are used to
construct exact periodic wave solutions to the generalized two-dimensional nonlinear …