Symmetry reduction and exact solutions of a hyperbolic Monge-Ampère equation

Zhongzhou Dong; Yong Chen; Dexing Kong; Zenggui Wang

doi:10.1007/s11401-012-0696-1

Chinese Annals of Mathematics, Series B ›› 2012, Vol. 33 ›› Issue (2) : 309 -316. DOI: 10.1007/s11401-012-0696-1

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Symmetry reduction and exact solutions of a hyperbolic Monge-Ampère equation

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Abstract

By means of the classical symmetry method, a hyperbolic Monge-Ampère equation is investigated. The symmetry group is studied and its corresponding group invariant solutions are constructed. Based on the associated vector of the obtained symmetry, the authors construct the group-invariant optimal system of the hyperbolic Monge-Ampère equation, from which two interesting classes of solutions to the hyperbolic Monge-Ampère equation are obtained successfully.

Keywords

Symmetry reduction / Monge-Ampère equation / Exact solutions

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Zhongzhou Dong, Yong Chen, Dexing Kong, Zenggui Wang. Symmetry reduction and exact solutions of a hyperbolic Monge-Ampère equation. Chinese Annals of Mathematics, Series B, 2012, 33(2): 309-316 DOI:10.1007/s11401-012-0696-1

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