New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions
AM Wazwaz, L Kaur - Nonlinear Dynamics, 2019 - Springer
In the present course of study, we examine a family of Boussinesq equations of distinct
structures and dimensions. We investigate the complete integrability of these equations via …
structures and dimensions. We investigate the complete integrability of these equations via …
Rogue waves in nonlinear optics
M Tlidi, M Taki - Advances in Optics and Photonics, 2022 - opg.optica.org
Understanding the phenomenon of rogue wave formation, often called extreme waves, in
diverse branches of nonlinear science has become one of the most attractive domains …
diverse branches of nonlinear science has become one of the most attractive domains …
Creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
It is commonly known that two-dimensional mean-field models of optical and matter waves
with cubic self-attraction cannot produce stable solitons in free space because of the …
with cubic self-attraction cannot produce stable solitons in free space because of the …
Dispersive optical soliton solutions for the hyperbolic and cubic-quintic nonlinear Schrödinger equations via the extended sinh-Gordon equation expansion method
AR Seadawy, D Kumar… - The European Physical …, 2018 - epjplus.epj.org
The (2+ 1)-dimensional hyperbolic and cubic-quintic nonlinear Schrödinger equations
describe the propagation of ultra-short pulses in optical fibers of nonlinear media. By using …
describe the propagation of ultra-short pulses in optical fibers of nonlinear media. By using …
Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity
We address the existence and stability of vortex-soliton (VS) solutions of the fractional
nonlinear Schrödinger equation (NLSE) with competing cubic-quintic nonlinearities and the …
nonlinear Schrödinger equation (NLSE) with competing cubic-quintic nonlinearities and the …
Soliton dynamics in a fractional complex Ginzburg-Landau model
Y Qiu, BA Malomed, D Mihalache, X Zhu… - Chaos, Solitons & …, 2020 - Elsevier
The general objective of the work is to study dynamics of dissipative solitons in the
framework of a one-dimensional complex Ginzburg-Landau equation (CGLE) of a fractional …
framework of a one-dimensional complex Ginzburg-Landau equation (CGLE) of a fractional …
PT-symmetric nonlocal Davey–Stewartson I equation: soliton solutions with nonzero background
Various solutions to the P T-symmetric nonlocal Davey–Stewartson (DS) I equation with
nonzero boundary condition are derived by constraining different tau functions of the …
nonzero boundary condition are derived by constraining different tau functions of the …
Analytical study on two new (3+ 1)-dimensional Painlevé integrable equations: Kink, lump, and multiple soliton solutions in fluid mediums
In this work, two new (3+ 1)-dimensional integrable wave equations are investigated. The
complete Painlevé integrability of the two suggested equations will be investigated using …
complete Painlevé integrability of the two suggested equations will be investigated using …
Dynamical analysis of lump solutions for (3+ 1) dimensional generalized KP–Boussinesq equation and its dimensionally reduced equations
L Kaur, AM Wazwaz - Physica Scripta, 2018 - iopscience.iop.org
This paper analyzes a new form of the (3+ 1) dimensional generalized Kadomtsev–
Petviashvili (KP)–Boussinesq equation for exploring lump solutions by making use of its …
Petviashvili (KP)–Boussinesq equation for exploring lump solutions by making use of its …
Three-dimensional droplets of swirling superfluids
A method for the creation of three-dimensional (3D) solitary topological modes,
corresponding to vortical droplets of a two-component dilute superfluid, is presented. We …
corresponding to vortical droplets of a two-component dilute superfluid, is presented. We …