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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 $ \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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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

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