Results 31 to 40 of about 1,165,137 (176)

The solitary wave solutions to the Klein–Gordon–Zakharov equations by extended rational methods

AIP Advances, 2021
In this paper, using the extended rational sine–cosine and rational sinh–cosh methods, we find new soliton solutions for the Klein–Gordon–Zakharov equations.
Shao-Wen Yao, Sayyed Masood Zekavatmand, Hadi Rezazadeh, Javad Vahidi, Mohammad Bagher Ghaemi, Mustafa Inc   +5 more
doaj   +1 more source

New and More Solitary Wave Solutions for the Klein-Gordon-Schrödinger Model Arising in Nucleon-Meson Interaction

Frontiers in Physics, 2021
This paper considers methods to extract exact, explicit, and new single soliton solutions related to the nonlinear Klein-Gordon-Schrödinger model that is utilized in the study of neutral scalar mesons associated with conserved scalar nucleons coupled ...
Nauman Raza, Saima Arshed, Asma Rashid Butt, Dumitru Baleanu, Dumitru Baleanu, Dumitru Baleanu   +5 more
doaj   +1 more source

Self-pulsing dynamics in a cavity soliton laser [PDF]

, 2010
The dynamics of a broad-area vertical-cavity surface-emitting laser (VCSEL) with frequency-selective feedback supporting bistable spatial solitons is analyzed experimentally and theoretically. The transient dynamics of a switch-on of a soliton induced by
Oppo, G. -L., Radwell, N., Firth, W. J., Ackemann, T., McIntyre, C.   +4 more
core   +4 more sources

Kinetic Equation for a Dense Soliton Gas [PDF]

Physical Review Letters, 2005
4 pages, 1 figure, final version published in Phys.
El, Gennady, Kamchatnov, A. M.
openaire   +3 more sources

Colliding Solitons for the Nonlinear Schrödinger Equation [PDF]

Communications in Mathematical Physics, 2009
27 ...
Abou Salem, W. K., Fröhlich, J., Sigal, I. M.   +2 more
openaire   +2 more sources

Analytical solutions of the space–time fractional Kundu–Eckhaus equation by using modified extended direct algebraic method

Partial Differential Equations in Applied Mathematics
The study of soliton solutions for Nonlinear Fractional Partial Differential Equations (NFPDEs) has gained prominence recently because of its ability to realistically recreate complex physical processes. Numerous mathematical techniques have been devised
Muhammad Bilal, Javed Iqbal, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad, Ikram Ullah   +5 more
doaj   +1 more source

Dynamics of bright and dark multi-soliton solutions for two higher-order Toda lattice equations for nonlinear waves

Advances in Difference Equations, 2018
Discrete N-fold Darboux transformation (DT) is used to derive new bright and dark multi-soliton solutions of two higher-order Toda lattice equations. Propagation and elastic interaction structures of such soliton solutions are shown graphically.
Nan Liu, Xiao-Yong Wen, Ling Xu
doaj   +1 more source

Discretization of Toroidal Soliton Equations [PDF]

Journal of Nonlinear Mathematical Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations [PDF]

, 2012
Includes abstract.Includes bibliographical references.In this thesis we develop and employ a spectral continuation algorithm, implemented in AUTO, to study the temporally periodic spatially localised soliton solutions of the driven, damped nonlinear ...
Lee-Thorpe, James
core   +1 more source

New Interaction Solutions of (3+1)-Dimensional KP and (2+1)-Dimensional Boussinesq Equations

Abstract and Applied Analysis, 2015
The consistent tanh expansion (CTE) method has been succeeded to apply to the nonintegrable (3+1)-dimensional Kadomtsev-Petviashvili (KP) and (2+1)-dimensional Boussinesq equations.
Bo Ren, Jun Yu, Xi-Zhong Liu
doaj   +1 more source