Results 81 to 90 of about 1,165,137 (176)

Lagrangian structures and multidimensional consistency [PDF]

, 2010
The conventional point of view is that the Lagrangian is a scalar object (or equivalently a volume form), which through the Euler-Lagrange equations provides us with one single equation (i.e., one per component of the dependent variable ...
Lobb, Sarah Beverley
core   +2 more sources

Dynamical behavior of kink solitons in nonlinear Chaffee-Infante equations with chaotic and bifurcation analysis

Ain Shams Engineering Journal
The Chaffee-Infante Equations (CIEs) are modified types of reaction-diffusion equations which are frequently employed in research of phase transitions, pattern generation and nonlinear wave dynamics.
Zainab Alsheekhhussain, Tariq S. Alshammari, Yaouba Amadou, Saleh Alshammari, Mohammad Alshammari, M. Mossa Al-sawalha   +5 more
doaj   +1 more source

Chaotic Phenomena, Sensitivity Analysis, Bifurcation Analysis, and New Abundant Solitary Wave Structures of The Two Nonlinear Dynamical Models in Industrial Optimization

Mathematics
In this research, we discussed the different chaotic phenomena, sensitivity analysis, and bifurcation analysis of the planer dynamical system by considering the Galilean transformation to the Lonngren wave equation (LWE) and the (2 + 1)-dimensional ...
M. Mamun Miah, Faisal Alsharif, Md. Ashik Iqbal, J. R. M. Borhan, Mohammad Kanan   +4 more
doaj   +1 more source

Time-dependent defects in integrable soliton equations. [PDF]

Proc Math Phys Eng Sci, 2020
Xia B, Zhou R.
europepmc   +1 more source

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  

Further quality analytical investigation on soliton solutions of some nonlinear PDEs with analyses: Bifurcation, sensitivity, and chaotic phenomena

Alexandria Engineering Journal
In this investigation, the analytical behavior of two prominent nonlinear wave equations, namely the doubly dispersive equation (DDE) and the Ablowitz-Kaup-Newell-Segur equation (AKNSE), have been scrutinized. Bifurcation analysis, sensitivity as well as
M. Akher Chowdhury, M. Mamun Miah, Md Mamunur Rasid, Sadique Rehman, J.R.M. Borhan, Abdul-Majid Wazwaz, Mohammad Kanan   +6 more
doaj   +1 more source

Soliton on Thin Vortex Filament

, 1990
"Showing that one of the equations found by Wadati Konno and Ichikawa is equivalent to the equation of motion of a thin vortex filament, we investigate solitons on the vortex filament. N vortex soliton solution is given in terms of the inverse scattering
Ichikawa, Yoshi H.", "Konno, K., Mituhashi, M.   +2 more
core  

Comprehensive study of stochastic soliton solutions in nonlinear models with application to the Davey Stewartson equations

Scientific Reports
This article investigates the stochastic Davey–Stewartson equations influenced by multiplicative noise within the framework of the It $$\hat{o}$$ calculus.
Yasir A. Madani, Shabbir Hussain, Mohammed A. Almalahi, Blgys Muflh, Khaled A. Aldwoah, Mukhtar Y. Y. Abdalla   +5 more
doaj   +1 more source

Fractional and Integrable Perspectives on a Variable-Coefficient Semi-Discrete NLS Equation: Analytical Method and Engineering Applications

Fractal and Fractional
The method of deriving fractional-order differential equations using Riesz fractional-order calculus is a new breakthrough, and it is possible to use the inverse scattering transform (IST) to solve the analytical solutions of the derived equations ...
Sen Zhao, Sheng Zhang, Bo Xu
doaj   +1 more source

Soliton solutions to integrable equations [PDF]

, 2010
In recent years, integrable systems and soliton theory play an important role in the study of nonlinear water wave equations. In this thesis, we will focus on the procedure of how to get soliton solutions for integrable equations. The fundamental idea is
Wang, Haiqi
core   +1 more source