Traveling Wave Solutions for Wave Equations with Exponential Nonlinearities

S. C. Mancas, H. C. Rosu, M. Perez-Maldonado, Stefani Mancas

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageAmerican English
JournalNonlinear Dynamics
StatePublished - Aug 1 2017

Keywords

  • Liouville equation
  • Tzitzeica-Dodd-Bullough
  • Dodd-Bullough-Mikhailov
  • sine-Gordon
  • sinh-Gordon
  • Weierstrass function

Disciplines

  • Physical Sciences and Mathematics

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