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On the integrability of a new Davey–Stewartson type equation in 2+1 dimensions

✍ Scribed by Attilio Maccari

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
65 KB
Volume
265
Category
Article
ISSN
0375-9601

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✦ Synopsis

We use an asymptotically exact reduction method based on Fourier expansion and spatio-temporal rescaling and obtain a Ž . new integrable Davey-Stewartson type partial differential equation PDE in 2 q 1 dimensions starting from a previously known integrable equation. In order to demonstrate the integrability of the new equation by the inverse scattering method, we apply the reduction technique to the Lax pair of the starting equation and find the corresponding Lax pair of the new equation. The new equation reduces to the nonlinear Schrodinger equation by appropriate limits.

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