Analytical solitons for the space-time conformable differential equations using two efficient techniques

Abstract Exact solutions to nonlinear differential equations play an undeniable role in various branches of science. These are often used as reliable tools describing the quantitative and qualitative features phenomena observed many fields mathematical physics sciences. In this paper, generalized exponential rational function method extended sinh-Gordon equation expansion applied obtain approximate analytical space-time conformable coupled Cahn–Allen equation, Burgers Fokas equation. Novel exact obtained. The derivative is considered under constraint conditions. Numerical simulations obtained by proposed methods indicate that approaches very effective. Both techniques employed paper have potential be solving other models mathematics physics.