𝔖 Bobbio Scriptorium
✦   LIBER   ✦

1-Soliton solution of 1 + 2 dimensional nonlinear Schrödinger’s equation in power law media

✍ Scribed by Anjan Biswas

Book ID
108096876
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
145 KB
Volume
14
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

New soliton and periodic solutions of (1
New soliton and periodic solutions of (1 + 2)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity
✍ Li-Hua Zhang; Jian-Guo Si 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 583 KB

With the aid of symbolic computation, the new generalized algebraic method is extended to the (1 + 2)-dimensional nonlinear Schrödinger equation (NLSE) with dualpower law nonlinearity for constructing a series of new exact solutions. Because of the dual-power law nonlinearity, the equation cannot be

Topological 1-soliton solution of the no
Topological 1-soliton solution of the nonlinear Schrodinger’s equation with Kerr law nonlinearity in 1 + 2 dimensions
✍ Anjan Biswas 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 139 KB

In this paper, the topological 1-soliton solution of the nonlinear Schrödinger's equation in 1 + 2 dimensions is obtained by the solitary wave ansatze method. These topological solitons are studied in the context of dark optical solitons. The type of nonlinearity that is considered is Kerr type.

Algebro-geometric solutions to a hierarc
Algebro-geometric solutions to a hierarchy of (1 + 1)-dimensional and two new (2 + 1)-dimensional nonlinear evolution equations
✍ Jinbing Chen 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 193 KB

Two new 2 + 1 dimensional nonlinear evolution equations are presented. The 2 + 1 dimensional equations closely relate with a hierarchy of 1 + 1 dimensional soliton equations. Through nonlinearizing of Lax pairs, the 1 + 1 dimensional evolution equations are decomposed to the finite dimensional integ