This review is dedicated to recent progress in the active field of rogue waves, with an
emphasis on the analytical prediction of versatile rogue wave structures in scalar, vector …

By the means of reconstructing the Darboux transformation to the Manakov system, we
obtain the new explicit solutions composed of a rogue wave and a breather for the system …

The nonlinear Schrödinger equations (NLSEs) arise from a large variety of fields, such as
quantum mechanics, optical fiber communication, plasma physics, superfluid and many …

In this paper, we consider the complex modified Korteweg–de Vries (mKdV) equation as a
model of few-cycle optical pulses. Using the Lax pair, we construct a generalized Darboux …

Abstract In this paper, the (3+ 1)-dimensional Hirota bilinear equation is investigated, which
can be used to describe the nonlinear dynamic behavior in physics. By using the Bell …

Abstract We consider a (2+ 1)-dimensional generalized breaking soliton (gBS) equation,
which describes the interaction of the Riemann wave propagated along the y-axis with a …

Exact explicit rational solutions of two-and one-dimensional multicomponent Yajima–
Oikawa (YO) systems, which contain multi-short-wave components and single long-wave …

In this paper, the nonautonomous Lenells-Fokas (LF) model is investigated. The
modulational instability analysis of the solutions with variable coefficients in the presence of …

Under investigation in this paper are the inhomogeneous nonlinear Schrödinger Maxwell–
Bloch (INLS-MB) equations which model the propagation of optical waves in an …

A new variant of the (2+ 1)(2+ 1)-dimensional (2+ 1) d (2+ 1) d Boussinesq equation was
recently introduced by Zhu Line soliton and rational solutions to (2+ 1)-dimensional …