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Davey-Stewartson Equations

The system of partial differential equations

iu_t+u_(xx)+alphau_(yy)+betau|u|^2-uv=0 v_(xx)+gammav_(yy)+delta(|u|^2)_(yy)=0.

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References

Champagne, B. and Winternitz, P. "On the Infinite-Dimensional Group of the Davey-Stewartson Equations." J. Math. Phys. 29, 1-8, 1988.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 137, 1997.

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Davey-Stewartson Equations

Cite this as:

Weisstein, Eric W. "Davey-Stewartson Equations." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Davey-StewartsonEquations.html

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