Review Kebaruan Penelitian Solusi Persamaan Diophantine Non-Linear Polinomial
DOI:
https://doi.org/10.54199/pjse.v3i1.155Abstract
The non-linear Diophantine equation has several forms of equations including exponential non-linear Diophantine equations and polynomial non-linear Diophantine equations. The purpose of this research is to examine several exponential non-linear Diophantine equations and polynomial nonlinear Diophantine equations. Several methods can be used to solve non-linear Diophantine equations, namely the properties of congruence, continuous fraction, Catalan conjecture, and Pell's equation. This article discusses methods that can be used to find solutions to the exponential nonlinear Diophantine equation where x,y,z are non-negative integers and the polynomial nonlinear Diophantine equation.. The result obtained is the solution of the nonlinear exponential Diophantine equation that can be solved by various solution methods such as mathematical induction, theory congruence and Catalan conjecture, while solving nonlinear polynomial Diophantine equations using continuous fraction method and Pell's equation.
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