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n-Dimensional real wave equations and the D’Alembert-Hamilton system
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2001 (English)In: Nonlinear Analysis, ISSN 0362-546X, E-ISSN 1873-5215, Vol. 47, no 8, p. 5125-5133Article in journal (Refereed) Published
Abstract [en]

We reduce the nonlinear wave equation □nu = αF[exp(βu)] to ordinary differential equtions and construct exact solutions, by the use of a compatible d'Alembert-Hamilton system. The solutions of these ordinary differential equations, together with the solutions of the corresponding d'Alembert-Hamilton equations, provide a rich class of exact solutions of the multidimensional wave equations. The wave equations are studied in n-dimensional Minkowski space.

Place, publisher, year, edition, pages
2001. Vol. 47, no 8, p. 5125-5133
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-7146DOI: 10.1016/S0362-546X(01)00622-8ISI: 000171595800009Scopus ID: 2-s2.0-0035422229Local ID: 577e5af0-aab6-11db-aeba-000ea68e967bOAI: oai:DiVA.org:ltu-7146DiVA, id: diva2:980034
Note
Validerad; 2001; 20061005 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Euler, MariannaEuler, Norbert

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