This article describes the characteristic of integrability via Painlevé analysis of the
Kadomtsev–Petviashvili (KP) equation under the influence of an external force along with a …

Fission and fusion phenomena can happen for solitons (sometimes solitary waves may be
more accurate) which have been recently discovered both theoretically and experimentally …

In this paper, the generalized nonautonomous Hirota equation was investigated with the
help of symbolic computation. Using Darboux transformation method three soliton and four …

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

This work deals with soliton solutions of the nonlinear Schrödinger equation with cubic and
quintic nonlinearities. We extend the procedure put forward in a recent paper [J. Belmonte …

By means of the similarity transformation connecting with the solvable stationary cubic-
quintic nonlinear Schrödinger equation (CQNLSE), we construct explicit chirped and chirp …

In this paper, we investigated the nonlinear tunneling of soliton in coupled higher order
nonlinear Schrödinger (CHNLS) equations. Corresponding Lax pair for this equation is …

With the help of the similarity transformation connected the variable-coefficient nonlinear
Schrödinger equation with the standard nonlinear Schrödinger equation, we firstly obtain …

In this paper, a (2+ 1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in
fluid mechanics and plasma physics is studied. Gram-type solutions are derived via the …

A large family of analytical solitary wave solutions to the generalized nonautonomous cubic-
quintic nonlinear Schrödinger equation with time-and space-dependent distributed …