New Exact Solutions For Three Nonlinear Partial Differential Equations

The method of generated Riccati equation is used to study three non-linear partial differential equations in this article.As a result,abundant new exactsolutions are obtained,including hyperbolic function solutions,triangle functionsolutions and rational solutions.Chapter2 and chapter3 study the nonlinear Cha?ee-Infante reaction anddi?usion equationsut (?)-dimensional potential-YTSFequation?4uxt + uxxxz + 4uxuxz + 2uxxuz + 3uyy = 0 respectively.And abundantnew solutions to the equations are obtained.In chapter 4,we study the (2+1)dimensional dispersive long water equations(?)and obtain abundant results under five cases .