Solution of a nonlinear partial differential equation with initial conditions

Authors:
James L. Reid and W. M. Pritchard

Journal:
Proc. Amer. Math. Soc. **42** (1974), 143-147

MSC:
Primary 35C99

DOI:
https://doi.org/10.1090/S0002-9939-1974-0342833-0

MathSciNet review:
0342833

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Abstract: The exact solution 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 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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1974-0342833-0

Keywords:
Exact solution,
nonlinear partial differential equation,
linear nonhomogeneous partial differential equation,
initial conditions

Article copyright:
© Copyright 1974
American Mathematical Society