Results 31 to 40 of about 7,793,680 (284)

Solving bi-directional soliton equations in the KP hierarchy by gauge transformation [PDF]

open access: yes, 2006
We present a systematic way to construct solutions of the (n = 5)-reduction of the BKP and CKP hierarchies from the general τ function τn+k of the KP hierarchy.
Cheng, Yi   +4 more
core   +1 more source

Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgrounds

open access: yesScientific Reports, 2022
The coupled nonlinear Schrödinger (CNLS) equations are the important models for the study of the multicomponent Bose-Einstein condensates (BECs). In this paper, we study the four-components CNLS equations via Darboux transformation and obtain the N ...
Lu Wang, Li Li, Fajun Yu
doaj   +1 more source

Solitonic solutions and gravitational solitons: an overview

open access: yes, 2021
In this work we intend to discuss the solitonic solutions of Einstein's field equations in vacuum by constructing the solution to N solitons and studying some aspects of it. In conclusion, it will be shown how the Kerr black hole can be interpreted as a soliton solution in the case of axial symmetry.
openaire   +2 more sources

Soliton solutions of M-theory on an orbifold [PDF]

open access: yesPhysics Letters B, 1998
19 pages, 1 figure, Latex, uses epsf ...
Lalak, Zygmunt   +2 more
openaire   +2 more sources

Spatiotemporal soliton solution to generalized nonlinear Schrodinger equation with a parabolic potential in Kerr media [PDF]

open access: yes, 2016
A class of new spatiotemporal solitary solution to nonlinear Schrodinger equation with a parabolic potential is investigated analytically and numerically using the F-expansion method and homogeneous balance principle.
Kong, Youchao
core   +1 more source

Lump and Interaction solutions of a geophysical Korteweg–de Vries equation

open access: yesResults in Physics, 2020
This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation (GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink soliton (which is interaction of lump with one kink soliton), lump-periodic ...
S.T.R. Rizvi   +5 more
doaj   +1 more source

The dispersion relation of a dark soliton

open access: yesNew Journal of Physics, 2023
The energy-velocity relation of a dark soliton is usually derived by its exact solution, which has been used to explain the kinetic motion of the dark soliton widely in many-body physical systems.
Ling-Zheng Meng, Ning Mao, Li-Chen Zhao
doaj   +1 more source

Soliton dynamics for quantum systems with higher-order dispersion and nonlinear interaction

open access: yesAIP Advances, 2020
We investigated three-dimensional quantum systems with higher-order dispersion and nonlinear effects. The systems’ soliton dynamics is studied based on the (3+1)-dimensional higher-order nonlinear Schrödinger equation (NLSE).
Chen Chen   +5 more
doaj   +1 more source

The formation of solitary wave solutions and their propagation for Kuralay equation

open access: yesResults in Physics, 2023
In this paper, the main motive is to mathematical explore the Kuralay equation, which find applications in various fields such as ferromagnetic materials, nonlinear optics, and optical fibers. The objective of this study is to investigate different types
Waqas Ali Faridi   +5 more
doaj   +1 more source

New soliton solutions of nonlinear Kudryashov's equation via Improved tan -expansion approach in optical Fiber

open access: yesKuwait Journal of Science, 2022
In this article, a newly introduced model nonlinear Kudryashov's equation with anti-cubic non-linearity is considered for extraction of soliton solutions.
Saima Arshed   +3 more
doaj   +1 more source

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