The Exact Travelling Wave Solutions Of The Modified SIR Model

In this paper, by introduce a traveling wave reduced transformation and auxiliary hyper-bolic tangent function to solve the nonlinear partial diferential equations that modified SIRexact solutions of the model into the solve nonlinear ordinary diferential equation.Reductiontransformation with the ordinary diferential equation,overdetermined system of equation-s is obtained by the coefcient,and its exact travelling wave solutions is obtained.In theprocess, we found the modified SIR model to meet the number of S(ψ)’s degree equalsthe number of the I(ψ)’s.This makes problems become very diverse and complex.When wemakem=n=1m=n=2.We can easy to get the exact solutions of the model,but with theincrease of degree.When the number of degree is m=n=3,problem is very complicate.Atthis time,problem can have many diferent situations,we respectively discuss on it.This articleis to explore the modified equations of SIR model,compared to study a single equation,it’scomputation and complex degree increased.We try to apply existing nonlinear wave methodto solve nonlinear equations,and many new results are obtained.