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Dispersive Long-Wave Equation

The system of partial differential equations

u_t=(u^2-u_x+2v)_x
(1)
v_y=(2uv+v_x)_x.
(2)

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References

Boiti, M.; Leon, J. J.-P.; and Pempinelli, F. "Integrable Two-Dimensional Generalisation of the Sine- and Sinh-Gordon Equations." Inverse Prob. 3, 37-49, 1987.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 137, 1997.

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Dispersive Long-Wave Equation

Cite this as:

Weisstein, Eric W. "Dispersive Long-Wave Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DispersiveLong-WaveEquation.html

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