Results 81 to 90 of about 5,863,832 (163)

Multi-soliton fusion phenomenon of Burgers equation and fission, fusion phenomenon of Sharma–Tasso–Olver equation

Journal of Ocean Engineering and Science, 2017
A direct rational exponential scheme is proposed to construct exact multi-soliton solutions and its fission, fusion phenomena after interaction of the solitons has been discussed.
Harun Or-Roshid, M.M. Rashidi
doaj   +1 more source

A new investigation of the extended Sakovich equation for abundant soliton solution in industrial engineering via two efficient techniques

Open Physics
Soliton solutions play a crucial role in modeling stable phenomena across optical communications, fluid dynamics, and plasma physics, owing to their stability and persistence in solving nonlinear equations.
Hossain Md Nur, Rasid Md Mamunur, Abouelfarag I., El-Rashidy K., Miah M. Mamun, Kanan Mohammad   +5 more
doaj   +1 more source

Mathematical modeling of influence of multiplicative white noise on dynamical soliton solutions in the KdV equation

Mathematics Open
This study investigates the impact of multiplicative white noise on soliton solutions of the Korteweg–de Vries (KdV) equation, a classical model for nonlinear wave propagation.
Abaker A. Hassaballa, Mehmet Yavuz, Gassan A. M. O. Farah, Fatimah A. Almulhim, Sayed Abdel-Khalek, Emad A.-B. Abdel-Salam   +5 more
doaj   +1 more source

Notes on exact multi-soliton solutions of noncommutative integrable hierarchies

, 2020
We study exact multi-soliton solutions of integrable hierarchies on noncommutative spacetimes which are represented in terms of quasi-determinants of Wronski matrices by Etingof, Gelfand and Retakh. We analyze the asymptotic behavior of the multi-soliton
Masashi Hamanaka
core  

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 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

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

Multi-Soliton, Soliton–Cnoidal, and Lump Wave Solutions for the Supersymmetric Boussinesq Equation

Mathematics
Based on the bosonization approach, the supersymmetric Boussinesq equation is converted into a coupled bosonic system. The symmetry group and the commutation relations of the corresponding bosonic system are determined through the Lie point symmetry ...
Peng-Fei Wei, Hao-Bo Zhang, Ye Liu, Si-Yu Lin, Rui-Yu Chen, Zi-Yi Xu, Wan-Li Wang, Bo Ren   +7 more
doaj   +1 more source

Many body effects in one-dimensional attractive Bose gases [PDF]

, 2013
In this thesis we investigate the properties of ultra-cold quantum gases in reduced dimension and the effects of harmonic confinement on soliton-like properties.
HOLDAWAY, DAVID,IAN,HENRY
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