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Jacobi elliptic function solutions of the double dispersive equation in the Murnaghan's rod

  • Rathinavel Silambarasan
  • Haci Mehmet BaskonusEmail author
  • Hasan Bulut
Regular Article
  • 43 Downloads

Abstract.

This research communication aims to obtain the periodic wave solutions of the double dispersive equation of the wave propagation in a nonlinear elastic inhomogeneous Murnaghan's rod by using the F -expansion technique. This method first converts the partial differential equation into an ordinary differential equation under the wave transformation, then the assumed solution converts the problem under study into systems of algebraic equations. Once these algebraic systems are solved for the unknowns and are shifted into the assumed solution, the exact solutions of the double dispersive equation is obtained. Next by making the modulus of Jacobi elliptic functions into either 0 (or) 1, non-topological, singular and their compound solitons are gleaned. The two- and three-dimensional plots are given to show the roving properties of the solutions.

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Copyright information

© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Information Technology, School of Information Technology and EngineeringVellore Institute of TechnologyTamilnaduIndia
  2. 2.Department of Mathematics, Faculty of EducationHarran UniversitySanliurfaTurkey
  3. 3.Firat UniversityFaculty of ScienceElazigTurkey

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