Symmetrical Fibonacci and Lucas Wave Solutions for Some Nonlinear Equations in Higher Dimensions

  • M. Allami Department of Mathematics, College of Education, Misan University, Iraq
  • A. K. Mutashar Department of Mathematics, College of Education, Misan University, Iraq
  • A. S. Rashid Department of Mathematics, College of Education, Misan University, Iraq
Keywords: nCBS equation, CBS-nCBS equation, nKdV equation, modified Kudryashov method, symmetrical Fibonacci and Lucas functions

Abstract

We consider some nonlinear partial differential equations in higher dimensions, the negative order of the Calogero-Bogoyavelnskii-Schiff (nCBS) equationin (2+1) dimensions, the combined of the Calogero-Bogoyavelnskii-Schiff equation and the negative order of the Calogero-Bogoyavelnskii-Schiff equation (CBS-nCBS) in (2+1) dimensions, and two models of the negative order Korteweg de Vries (nKdV) equations in (3+1) dimensions. We show that these equations can be reduced to the  same class of ordinary differential equations via wave reduction variable. Solutions in terms of symmetrical Fibonacci and Lucas functions are presented by implementation of the modified Kudryashov method.

Published
2018-08-30
How to Cite
Allami, M., Mutashar, A. K., & Rashid, A. S. (2018). Symmetrical Fibonacci and Lucas Wave Solutions for Some Nonlinear Equations in Higher Dimensions. Iraqi Journal of Science, 59(3B), 1480-1489. Retrieved from https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/464
Section
Mathematics