Department of Mathematics
We use a simple method which leads to the quadrature involved in obtaining the traveling 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 we give all the basic traveling wave solutions based on a detailed study of the corresponding elliptic equations of several well-known particular cases with important applications in physics.
Scholarly Commons Citation
Mancas, S. C., Rosu, H. C., & Perez-Maldonado, M. (2017). Traveling Wave Solutions for Wave Equations with Exponential Nonlinearities. Nonlinear Dynamics, (). Retrieved from https://commons.erau.edu/publication/859