Applied Mathematics & Information Sciences

Author Country (or Countries)

Saudi Arabia


In this paper a number of findings present various ways of new research with novel class of trigonometric functions which unifies the properties of the well-known standard functions. From our previous knowledge, the important and significant role which investigated by the trigonometric functions in simplifying results in astronomy, physics and engineering, therefore, we may naturally predict that these new studies of trigonometric functions can lead to interpretations and results that have not appeared before and are new in mathematics, physics, biology, engineering and other branches of science. By introducing the variable-coefficient Riccati Fibonacci procedure, we investigate explicit solutions for some Kortewege de Vries models with variable coefficient (vcKdV). The main and basic idea of this procedure is based on finding solutions to desired models as a series in terms of solutions of the quadratic Riccati differential equation which are satisfied by Fibonacci trigonometric symmetric functions.

Digital Object Identifier (DOI)