Travelling-Wave Solutions for Wave Equations with Two Exponential Nonlinearities

@article{Mancas2017TravellingWaveSF,
  title={Travelling-Wave Solutions for Wave Equations with Two Exponential Nonlinearities},
  author={Stefan C. Mancas and Haret C. Rosu and M. T. P{\'e}rez-Maldonado},
  journal={Zeitschrift f{\"u}r Naturforschung A},
  year={2017},
  volume={73},
  pages={883 - 892}
}
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… 

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