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- Title
Travelling-Wave Solutions for Wave Equations with Two Exponential Nonlinearities.
- Authors
Mancas, Stefan C.; Rosu, Haret C.; Pérez-Maldonado, Maximino
- Abstract
We use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained, while when that term is nonzero, all the basic travelling-wave solutions of Liouville, Tzitzéica, and their variants, as as well sine/sinh-Gordon equations with important applications in the phenomenology of nonlinear physics and dynamical systems are found through a detailed study of the corresponding elliptic equations.
- Subjects
LIOUVILLE'S theorem; SINE-Gordon equation; WEIERSTRASS-Stone theorem; WAVE equation; HYPERGEOMETRIC functions
- Publication
Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2018, Vol 73, Issue 10, p883
- ISSN
0932-0784
- Publication type
Article
- DOI
10.1515/zna-2018-0055