基于扩展的F展开法求孤子方程的广义解  

The Generalized Solution of Soliton Equation is Obtained Based on Extended F Expansion Method

作　　者：孟勇 MENG Yong(School of Physical Science and Technology,Ningbo University,Ningbo 315211,China)

机构地区：[1]宁波大学物理科学与技术学院,浙江宁波315211

出　　处：《滨州学院学报》2022年第4期64-69,共6页Journal of Binzhou University

基　　金：国家自然科学基金项目(11435005)。

摘　　要：对扩展的F展开法进行改造,将解的展开式对称延拓到负幂次项,同时将一般形式的行波解推广为非指定形式的广义解。然后利用该方法得到了MKdV方程的孤立波与椭圆周期波的相互作用解,以及(2+1)维BKK方程组的完全分离变量解。最后求出了(2+1)维BKK方程组的特殊孤子解的结构激发。The extended F expansion method is modified,the expansion of the solution is symmetrically extended to the negative power term,and the traveling wave solution of the general form is extended to the generalized solution of the non-specified form.The method is then used to obtain the solution of the MKdV equation of solitary wave,elliptic periodic wave,and the completely separate solutions of(2+1)-dimensional BKK equations.Finally,the structural excitations of special soliton solutions of(2+1)-dimensional BKK equations are obtained.

关 键 词：扩展的F展开法 对称延拓 相互作用解 完全分离变量解 结构激发 

分 类 号：O175.29[理学—数学]