Results 11 to 20 of about 6,386,161 (167)

McKay correspondence for Landau-Ginzburg models [PDF]

, 2009
In this paper we prove an analogue of the McKay correspondence for Landau-Ginzburg models. Our proof is based on the ideas introduced by T. Bridgeland, A. King and M.
Quintero Velez, A.
core   +9 more sources

On a Cubic-Quintic Ginzburg-Landau Equation with Global Coupling [PDF]

, 2005
We study standing wave solutions in a Ginzburg-Landau equation which consists of a cubic-quintic equation stabilized by global coupling A_t= \Delta A +\mu A + c A^3 -A^5 -k A (\int_{R^n} A^2\,dx).
Winter, M, Wei, J
core   +6 more sources

Solving generalized quintic complex Ginzburg–Landau equation by homotopy analysis method

Ain Shams Engineering Journal, 2018
In this paper, the generalized quintic complex Ginzburg–Landau equation is considered to be solved, by means of the homotopy analysis method (HAM). Two examples are solved to illustrate the efficiency of the proposed method.
Soheila Naghshband, Mohammad Ali Fariborzi Araghi   +1 more
doaj   +1 more source

New Analytical Solutions of Fractional Complex Ginzburg-Landau Equation

Universal Journal of Mathematics and Applications, 2020
In recent years, nonlinear concepts have attracted a lot of attention due to the deep mathematics and physics they contain. In explaining these concepts, nonlinear differential equations appear as an inevitable tool.
Ali Tozar
doaj   +1 more source

Bright-Dark and Multi Solitons Solutions of (3 + 1)-Dimensional Cubic-Quintic Complex Ginzburg–Landau Dynamical Equation with Applications and Stability

Entropy, 2020
In this paper, bright-dark, multi solitons, and other solutions of a (3 + 1)-dimensional cubic-quintic complex Ginzburg−Landau (CQCGL) dynamical equation are constructed via employing three proposed mathematical techniques.
Chen Yue, Dianchen Lu, Muhammad Arshad, Naila Nasreen, Xiaoyong Qian   +4 more
doaj   +1 more source

Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms

Mathematics, 2021
This paper retrieves highly dispersive optical solitons to complex Ginzburg–Landau equation having six forms of nonlinear refractive index structures for the very first time. The enhanced version of the Kudryashov approach is the adopted integration tool.
Elsayed M. E. Zayed, Khaled A. Gepreel, Mahmoud El-Horbaty, Anjan Biswas, Yakup Yıldırım, Hashim M. Alshehri   +5 more
doaj   +1 more source

Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian

Nonlinear Analysis, 2015
In this paper, we are concerned with the long-time behavior of the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian. We first prove the existence of pullback absorbing sets in L2(Ω)∩W01,p(Ω)∩Lq(Ω) for the process {U(t,τ)}t⩾τ ...
Fang Li, Bo You
doaj   +1 more source

Optical solitons with differential group delay for complex Ginzburg–Landau equation

Results in Physics, 2020
This paper addresses optical solitons in birefringent fibers that is modeled by complex Ginzburg–Landau equation with Kerr law nonlinearity. Three forms of integration architecture retrieves soliton and other solutions to the model.
Yakup Yıldırım, Anjan Biswas, Anwar Ja’afar Mohamad Jawad, Mehmet Ekici, Qin Zhou, Abdullah Kamis Alzahrani, Milivoj R. Belic   +6 more
doaj   +1 more source

Sequel to “cubic‐quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov's method”

IET Optoelectronics, 2022
This paper serves as a sequel to previously reported results on cubic‐quartic solitons with complex Ginzburg–Landau equation. This work is with various forms of power law nonlinearity that structures the self‐phase modulation.
Ahmed H. Arnous, Anjan Biswas, Abdul H. Kara, Daniela Milovic, Yakup Yıldırım, Hashim M. Alshehri   +5 more
doaj   +1 more source

Highly Dispersive Optical Solitons in Birefringent Fibers of Complex Ginzburg–Landau Equation of Sixth Order with Kerr Law Nonlinear Refractive Index

Eng, 2023
In this paper, we derived optical soliton solutions with a highly dispersive nonlinear complex Ginzburg–Landau (CGL) equation in birefringent fibers that have Kerr law nonlinearity.
Elsayed M. E. Zayed, Khaled A. Gepreel, Mahmoud El-Horbaty, Mohamed E. M. Alngar   +3 more
doaj   +1 more source