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Carleman Equation


The system of partial differential equations

u_t+u_x=v^2-u^2
(1)
v_t-v_x=u^2-v^2.
(2)

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References

Kaper, H. G. and Leaf, G. K. "Initial Value Problems for the Carleman Equation." Nonlinear Anal. 4, 343-362, 1980.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 137, 1997.

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Carleman Equation

Cite this as:

Weisstein, Eric W. "Carleman Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CarlemanEquation.html

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