Abstract
With the aid of computerized symbolic computation, the newmodified Jacobi elliptic function expansion method forconstructing exact periodic solutions of nonlinear mathematicalphysics equation is presented by a new general ansätz.The proposed method is more powerful than most of the existingmethods. By use of the method, we not only can successfullyrecover the previously known formal solutions but also can constructnew and more general formal solutions for some nonlinear evolutionequations. We choose the (3+1)-dimensionalKadomtsev–Petviashvili equation to illustrate our method. As aresult, twenty families of periodic solutions are obtained. Ofcourse, more solitary wave solutions, shock wave solutions ortriangular function formal solutions can be obtained at their limitcondition.
Published Version
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