Results 111 to 120 of about 554,383 (268)

Novel resonant multi-soliton solutions of time fractional coupled nonlinear Schrödinger equation in optical fiber via an analytical method

Results in Physics, 2023
J. Ahmad, S. Rani, N. Turki, Nehad Ali Shah   +3 more
semanticscholar   +1 more source

The complex sine-Gordon model on a half line [PDF]

, 2003
In this thesis, we study the complex sine-Gordon model on a half line. The model in the bulk is an integrable (l+1) dimensional field theory which is U(1) gauge invariant and comprises a generalisation of the sine-Gordon theory.
Tzamtzis, Georgios
core  

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

Novel multi-soliton solutions of the breaking soliton equation

Acta Physica Sinica, 2003
Hirota bilinear method is a very effective method for solving nonlinear evolution equations. In this paper, by further generalizing this method, we obtain novel multi-soliton solutions of (2+1)-dimensional breaking soliton equation.
null Zhang Jie-Fang, null Guo Guan-Ping
openaire   +1 more source

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

, 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  

Hirota bilinear computation of multi soliton solutions korteweg de vries equation [PDF]

, 2014
Soliton is the solution of nonlinear partial differential equation that exists due to the balance between nonlinearity and dispersive effects. The existence of these two effects in Korteweg de Vries (KdV) equation enables us to obtain solitons solutions.
Hamdan, Anniza
core  

Affine Toda solitons and fusing rules [PDF]

, 1994
This thesis is concerned with various soliton solutions to some of the affine Toda field theories. These are field theories in 1+1 dimensions that possess a rich underlying Lie algebraic structure and they are known to be integrable.
Hall, R.A, Hall, Richard Andrew
core  

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

Multi-Soliton solutions to a model equation for shallow water waves

, 2010
In Soliton theory, Hirota direct method is most efficient tool for seeking one soliton solutions or multi-soliton solutions of integrable nonlinear partial differential equations.
Qiao, Zhijiang
core