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Madelung representation for complex nonlinear d'Alembert equations in n-dimensional Minkowski space
1995 (English)In: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, E-ISSN 1776-0852, Vol. 2, no 3-4, 292-300 p.Article in journal (Refereed) Published
##### Abstract [en]

The Madelung representation $\psi = u\exp(iv)$ is considered for the d'Alembert equation $\square_n\psi - F(|\psi|)\psi = 0$ to develop a technique for finding exact solutions. The authors classify the nonlinear function $F$ for which the amplitude and phase of the d'Alembert equation are related to the solutions of the compatible d'Alembert-Hamiltonian system. The equations are studied in the $n$-dimensional Minkowski space.[A.~Ju.~Obolenskij (Kyïv)]

##### Abstract [en]

The Madelung representation $\psi = u\exp(iv)$ is considered for the d'Alembert equation $\square_n\psi - F(|\psi|)\psi = 0$ to develop a technique for finding exact solutions. The authors classify the nonlinear function $F$ for which the amplitude and phase of the d'Alembert equation are related to the solutions of the compatible d'Alembert-Hamiltonian system. The equations are studied in the $n$-dimensional Minkowski space.

##### Place, publisher, year, edition, pages
1995. Vol. 2, no 3-4, 292-300 p.
Mathematics
##### Identifiers
Local ID: 3d7ee150-9e96-11db-8975-000ea68e967bOAI: oai:DiVA.org:ltu-5680DiVA: diva2:978554
##### Note
Upprättat; 1995; 20070103 (kani)Available from: 2016-09-29 Created: 2016-09-29

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Euler, Norbert
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Journal of Nonlinear Mathematical Physics