【摘要】 本文借助Multiple exp-函数法和齐次平衡原理,求解了两类(3+1)维广义BoussinesqKadomtsev-Petviashvili(BKP)方程,获得了其指数型函数波解.根据参数的任意性,对参数取不同的值,得到了方程不同类型的扭子波解和孤子波解.作为例子,借助Maple分别给出了不同情况下两种特殊类型的波解的图像.通过图像,能够更直观地理解两类广义BKP方程解的特点,这将对后期进行相关方面的研究和涉及广义BKP方程的工程领域的研究有着一定的参考价值.更多还原

【Abstract】 By using the mutiple exp-function method and the homogeneous balance method,two kinds of(3 + 1)-dimensional generalized Boussinesq-Kadomtsev-Petviashvili(BKP) equations have been solved and the wave solutions of exponential function have been obtained.Because of the arbitrariness of parameters,we can get two kinds of solutions by choosing different values for parameters.It has a certain reference value for some related engineering fields.As examples,two kinds of images with specific values of involved parameters have been given by Maple.According to the images of solutions,we can see more clearly the characteristics of solutions of the generalized BKP equations,which is bene?cial to related research in the future.更多还原