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Application of the Exp-Function Method to the Two-Dimensional Ginzburg-Landau Equation
摘要
In this paper, the Exp-function method is used to construct generalized solitary wave solutions of the two-dimensional (2D) Ginzburg-Landau equation, which is a typical complex equation in optics. It is shown that the Exp-function method is a straightforward and concise mathematical tool for nonlinear evolutional equations (NLEEs) in mathematical physics. It shows a wide applicability for handling not only real NLEEs but also complex NLEEs.
關鍵字
無資料被引用紀錄
Tsai, C. N. (2001). 變異型態的最小最大定理 [master's thesis, National Taiwan Normal University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0021-2603200719094042
延伸閱讀
- Biswas, A., Yıldırım, Y., Ekici, M., Guggilla, P., Khan, S., Gaxiola, O. G., Alzahrani, A. K., & Belic, M. R. (2021). Cubic-Quartic Optical Soliton Pertubation with Complex Ginzburg-Landau Equation. 淡江理工學刊, 24(6), 937-1004. https://doi.org/10.6180/jase.202112_24(6).0014
- Song, M. (2012). Application of Bifurcation Method to the Generalized Zakharov Equations. Abstract and Applied Analysis, 2012(), 11-18-201. https://doi.org/10.1155/2012/308326
- Zhong, P. H., Wang, S., Wang, K., & Bai, Y. P. (2010). The Numerical Convergence of the Landau-Lifshitz Equations and Its Simulation. Discrete Dynamics in Nature and Society, 2010(), 12-24. https://doi.org/10.1155/2010/124129
- Xu, G. Q. (2014). Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations. Abstract and Applied Analysis, 2014(), 519-525-852. https://doi.org/10.1155/2014/541370
- Furuichi, S. (2011). Characterizations of Generalized Entropy Functions by Functional Equations. Advances in Mathematical Physics, 2011(), 4-15. https://doi.org/10.1155/2011/126108