[HTML][HTML] Similariton regularized waves solutions of the (1+ 2)-dimensional non-autonomous BBME in shallow water and stability
The oscillatory motion on the ocean surface is a combination of a variety of different types of
waves. The regularized waves are among them. Here, it is shown that they arise as solutions …
waves. The regularized waves are among them. Here, it is shown that they arise as solutions …
Dynamics of the higher-order rogue waves for a generalized mixed nonlinear Schrödinger model
Under investigation in this paper is a generalized mixed nonlinear Schrödinger equation
(GMNLSE) which arises in several physical areas including the quantum field theory, weakly …
(GMNLSE) which arises in several physical areas including the quantum field theory, weakly …
Hidden symmetry reductions and the Ablowitz–Kaup–Newell–Segur hierarchies for nonautonomous solitons
VN Serkin, A Hasegawa… - Odyssey of Light in …, 2017 - taylorfrancis.com
Solitons—self-localized robust and long-lived nonlinear solitary waves that do not disperse
and preserve their identity during propagation and after a collision—arise in any physical …
and preserve their identity during propagation and after a collision—arise in any physical …
On multi-fusion solitons induced by inelastic collision for quasi-periodic propagation with nonlinear refractive index and stability analysis
In this paper, the two-and three-soliton propagation of Sharma–Tasso–Olver (STO) equation
for inhomogeneous media (with a variable-coefficient) are obtained. It is shown, due to the …
for inhomogeneous media (with a variable-coefficient) are obtained. It is shown, due to the …
Dynamics of self-similar waves in asymmetric twin-core fibers with Airy–Bessel modulated nonlinearity
TS Raju - Optics Communications, 2015 - Elsevier
We explore the exact optical similaritons of a generalized nonlinear Schrödinger equation
(GNLSE) with space–time modulated dispersion, nonlinearity, external potential and …
(GNLSE) with space–time modulated dispersion, nonlinearity, external potential and …
Controllable excitation of higher-order rogue waves in nonautonomous systems with both varying linear and harmonic external potentials
H Jia, R Yang, J Tian, W Zhang - Optics Communications, 2018 - Elsevier
The nonautonomous nonlinear Schrödinger (NLS) equation with both varying linear and
harmonic external potentials is investigated and the semirational rogue wave (RW) solution …
harmonic external potentials is investigated and the semirational rogue wave (RW) solution …
Interaction between breathers and rogue waves in a nonlinear optical fiber
We study the interaction between breather and N-order rogue waves in a nonlinear optical
fiber. The impacts of the relative phase and the interaction distance between breathers and …
fiber. The impacts of the relative phase and the interaction distance between breathers and …
Rogue wave management for the generalized inhomogeneous nonlinear Schrödinger Maxwell–Bloch equation with external potential
R Pal, S Loomba - Optik, 2021 - Elsevier
We have revealed the interesting characteristic features of rogue waves for the various
choices of potentials as they propagate through an inhomogeneous erbium-doped fiber …
choices of potentials as they propagate through an inhomogeneous erbium-doped fiber …
Modulation instability and two types of non-autonomous rogue waves for the variable-coefficient AB system in fluid mechanics and nonlinear optics
Under investigation in this paper is a variable-coefficient AB (vcAB) system, which describes
marginally unstable baroclinic wave packets in geophysical fluids and ultra-short pulses in …
marginally unstable baroclinic wave packets in geophysical fluids and ultra-short pulses in …
Abundant structures of waves in plasma transitional layer sheath
In this paper multi-wave solutions representing coupled self-similar-traveling wave of the
Nizhnik Novikov Veselov equation (NNVE) in a non-uniform medium, are derived. The …
Nizhnik Novikov Veselov equation (NNVE) in a non-uniform medium, are derived. The …