(3+1)维广义BKP方程的N-孤子解、lump解和lump-kink解  

N-soliton,Lump and Lump-kink Solutions of the ( 3+1)-dimensional Generalized BKP Equation

作　　者：张清阳 陈楚君 ZHANG Qingyang;CHEN Chujun(College of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua 321004,China)

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《湖北民族学院学报（自然科学版）》2018年第4期422-426,共5页Journal of Hubei Minzu University(Natural Science Edition)

摘　　要：基于简化的Hirota双线性方法,研究了(3+1)维广义BKP方程的N-孤子解.其次通过一类代数直接方法即所谓的正定二次函数法,研究了约化的广义BKP方程的lump解.然后将指数函数与正定二次函数结合,代入方程,求得约化的广义BKP方程的lump-kink解.最后通过选取不同的自由参数,画图加以说明条纹孤子与lump孤子的碰撞规律,并进行动力学分析.Based on the simplified Hirota bilinear method,the N-soliton solutions of(3+1)-dimensional generalized BKP equations are studied.Secondly,the lump solutions of the reduced generalized BKP equation is studied through a class of algebraic direct methods,the so-called positive definite quadratic function method.Then we combine the exponential function with positive definite quadratic function and substitute it into the equation to obtain the lump-kink solutions of the reduced generalized BKP equation.Finally,by selecting different free parameters and drawing,the collision laws between the stripe soliton and the lump soliton are illustrated and the dynamics analysis is performed.

关 键 词：(3+1)维广义BKP方程 N-孤子解 lump解 lump-kink解 正定二次函数法 

分 类 号：O175.24[理学—数学]