Results 121 to 130 of about 554,383 (268)

Optimizing Optical Fiber Communications: Bifurcation Analysis and Soliton Dynamics in the Quintic Kundu–Eckhaus Model

Fractal and Fractional
This paper investigates the bifurcation dynamics and optical soliton solutions of the integrable quintic Kundu–Eckhaus (QKE) equation with an M-fractional derivative.
Abdelhamid Mohammed Djaouti, Md. Mamunur Roshid, Harun-Or Roshid, Ashraf Al-Quran   +3 more
doaj   +1 more source

Multi-soliton solutions in the chiral quark soliton model

, 2004
59 pages, 11 figures; invited paper for "Progress in Soliton Research", Nova Science Publishers (NY)
Sawado, Nobuyuki, Shiiki, Noriko
openaire   +2 more sources

Multi-symplectic integration of coupled non-linear Schrodinger system with soliton solutions

, 2009
Systems of coupled non-linear Schrodinger equations with soliton solutions are integrated using the six-point scheme which is equivalent to the multi-symplectic Preissman scheme. The numerical dispersion relations are studied for the linearized equation.
AYDIN, AYHAN, Karasözen, Bülent
core   +2 more sources

Multi-Soliton Propagation and Interaction in Λ-Type EIT Media: An Integrable Approach

Photonics
Electromagnetically induced transparency (EIT) is well known as a quantum optical phenomenon that permits a normally opaque medium to become transparent due to the quantum interference between transition pathways.
Ramesh Kumar Vaduganathan, Prasanta K. Panigrahi, Boris A. Malomed   +2 more
doaj   +1 more source

The nonlinear Dirac equation in Bose–Einstein condensates: I. Relativistic solitons in armchair nanoribbon optical lattices

New Journal of Physics, 2015
We present a thorough analysis of soliton solutions to the quasi-one-dimensional (quasi-1D) nonlinear Dirac equation (NLDE) for a Bose–Einstein condensate in a honeycomb lattice with armchair geometry.
L H Haddad, C M Weaver, Lincoln D Carr
doaj   +1 more source

Multi-Soliton Solutions for the Combined KdV–mKdV Equation in Terms of Wronskian with Multi-Wave and Periodic Cross-Kink Dynamics

Mathematics
This article examines the integrability of the combined KdV-mKdV equation, which provides an effective framework for modeling coherent structures in turbulent flows.
Reem Abdullah Aljethi, Nida Raees, Irfan Mahmood, Ejaz Hussain   +3 more
doaj   +1 more source

The Hirota's direct method and multi-soliton solutions [PDF]

, 2010
The study of soliton theory is always a major source of mathematical and physical inspiration. For the past few decades, soliton theory has attracted considerable attention in diverse physical applications and the various mathematical methods of solution.
Chia, Chee Pen
core  

Multi-soliton solutions of Klein-Gordon-Zakharov system

In this study, we investigate the Klein-Gordon-Zakharov system with a focus on identifying multi-soliton solutions. Specifically, for a given number $N$ of solitons, we demonstrate the existence of a multi-soliton solution that asymptotically converges, in the energy space, to the sum of these solitons.
Alvarez, Vicente, Esfahani, Amin
openaire   +2 more sources

On breathers in affine toda theories [PDF]

, 1995
Oscillating solitonic solutions, the breathers, of affine Toda theory are studied. These breather solutions are constructed from two solitons of the same mass with velocity opposite of each other; by analytically continuing its velocity or rapidity to a ...
Iskandar, Alexander Agustinus Popo
core  

Decomposition and linear superposition of the (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada equation

Results in Physics
Generally, the principle of linear superposition is not applicable in nonlinear systems. The results of our researches prove that for some certain types of decomposed solutions of (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada(CDGKS) equation, the ...
Jianan Wang, Xueping Cheng, Guiming Jin
doaj   +1 more source