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Hierarchy of (2 + 1)-Dimensional Nonlinear Schrödinger Equation, Self-Dual Yang-Mills Equation, and Toroidal Lie Algebras

✍ Scribed by Kakei, S.; Ikeda, T.; Takasaki, K.

Book ID
113014331
Publisher
Springer
Year
2002
Tongue
English
Weight
287 KB
Volume
3
Category
Article
ISSN
1424-0637

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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