Solution of a nonlinear partial differential equation with initial conditions

Reid, James L.; Pritchard, W. M.

doi:10.1090/S0002-9939-1974-0342833-0

Solution of a nonlinear partial differential equation with initial conditions
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by James L. Reid and W. M. Pritchard PDF

Proc. Amer. Math. Soc. 42 (1974), 143-147 Request permission

Abstract:

The exact solution $\phi$ of a particular nonlinear partial differential equation is obtained in terms of solution u of a related linear partial differential equation. It is noted that solution $\phi$ may be found subject to initial conditions if certain initial conditions can be determined for solution u. Two examples are solved explicitly.

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