基于双线性算子方法的(2+1)维SK方程的孤立波解  

Solitary Wave Solutions of(2+1)Dimensional SK Equation Based on Bilinear Operator Method

作　　者：周倩 ZHOU Qian(School of Geneneu Edueation,Wanjiang University of Technology,Maanshan 243000,China)

机构地区：[1]皖江工学院通识教育学院,安徽马鞍山243000

出　　处：《新乡学院学报》2024年第12期1-6,共6页Journal of Xinxiang University

摘　　要：通过利用双线性算子方法和引进测试函数结构得到了(2+1)维SK方程的一些精确孤立波解和周期孤立波解。用测试函数f=Acosh(px+qy+wt)+Bcosh(kx+ry+ct)导出了9个孤立波解,用测试函数f=Acos(px+qy+wt)+Bcos(kx+ry+ct)导出了9个孤立波解,用测试函数f=a1cos(hx+vt)+exp(-mx-nt)+b1exp(mx+nt)得到11个孤立波解。By using bilinear operator method and introducing test function structure,some exact solitaire and periodic solitaire solutions of(2+1)dimensional SK equation are obtained.The results show that:9 solitaire solutions are obtained by test function f=Acosh(px+qy+wt)+Bcosh(kx+ry+ct),9 isolated wave solutions obtained by test f unction f=Acos(px+qy+wt)+Bcos(kx+ry+ct),11 isolated wave solutions are obtained by test f unction f=a1 cos(hx+vt)+exp[−(mx+nt)]+b1 exp(mx+nt).

关 键 词：双线性算子方法 (2+1)维SK方程 孤立波 

分 类 号：O175.29[理学—数学]