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The $$\frac{G'}{G}$$ method and 1-soliton solution of the Davey-Stewartson equation. (English) Zbl 1217.35171
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:
 35Q55 NLS equations (nonlinear Schrödinger equations) 35C08 Soliton solutions
##### Keywords:
evolution equation; integrability; solitons
Full Text:
##### References:
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