TY - JOUR
T1 - Travelling-Wave Solutions for Wave Equations with Two Exponential Nonlinearities
AU - Mancas, S. C.
AU - Rosu, Haret C.
AU - Pérez-Maldonado, Maximino
AU - Mancas, Stefani
PY - 2018/2/1
Y1 - 2018/2/1
N2 - 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.
AB - 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.
UR - https://www.degruyter.com/document/doi/10.1515/zna-2018-0055/html
U2 - 10.1515/zna-2018-0055
DO - 10.1515/zna-2018-0055
M3 - Article
JO - Zeitschrift für Naturforschung A
JF - Zeitschrift für Naturforschung A
ER -