A Note on Exact Traveling Wave Solutions of the Perturbed Nonlinear Schrödinger's Equation with Kerr Law Nonlinearity

Autor:	Zai-Yun Zhang, Xiang-Yang Gan, Ying-Hui Zhang, Xin-Ping Li, De-Min Yu
Rok vydání:	2012
Předmět:	Physics symbols.namesake Nonlinear system Physics and Astronomy (miscellaneous) Law Traveling wave symbols Elliptic function Nonlinear Sciences::Pattern Formation and Solitons Schrödinger's cat
Zdroj:	Communications in Theoretical Physics. 57:764-770
ISSN:	0253-6102
DOI:	10.1088/0253-6102/57/5/05
Popis:	In this paper, we investigate nonlinear the perturbed nonlinear Schrodinger's equation (NLSE) with Kerr law nonlinearity given in [Z.Y. Zhang, et al., Appl. Math. Comput. 216 (2010) 3064] and obtain exact traveling solutions by using infinite series method (ISM), Cosine-function method (CFM). We show that the solutions by using ISM and CFM are equal. Finally, we obtain abundant exact traveling wave solutions of NLSE by using Jacobi elliptic function expansion method (JEFEM).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a2d0231c43610aa9fe27509767cd2845 https://doi.org/10.1088/0253-6102/57/5/05 Zobrazit plný text záznamu