Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 35C99

Retrieve articles in all journals with MSC: 35C99


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