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An explicit separate solution for the Tzitzeica equation. (English) Zbl 1051.35095

By using non-classical symmetries and separation of variables, the authors give an explicit solution to the Tzitzeica equation in terms of Weierstrass \(\wp\) function. This reproduces a result of M. Musette and R. Conte [J. Phys. A, Math. Gen. 27, 3895–3913 (1994; Zbl 0843.35109)] from another approach.

MSC:

35Q58 Other completely integrable PDE (MSC2000)
37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions
35C05 Solutions to PDEs in closed form

Citations:

Zbl 0843.35109
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