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Zbl 1217.35171
Ebadi, Ghodrat; Biswas, Anjan
The $\frac{G'}{G}$ method and 1-soliton solution of the Davey-Stewartson equation.
(English)
[J] Math. Comput. Modelling 53, No. 5-6, 694-698 (2011). ISSN 0895-7177

Summary: This paper studies the Davey-Stewartson equation. The $\frac{G'}{G}$ method is applied to carry out the integration of this equation. Subsequently, using the ansatz method this equation is integrated in $(1+2)$ dimensions with power law nonlinearity.
MSC 2000:
*35Q55 NLS-like (nonlinear Schroedinger) equations
35C08

Keywords: evolution equation; integrability; solitons

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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