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Topological 1-soliton solution of the nonlinear Schrodinger’s equation with Kerr law nonlinearity in 1 + 2 dimensions

✍ Scribed by Anjan Biswas

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
139 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis

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.

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✍ 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