扰动Benjamin方程物理模型的孤波解  

Solitary Wave Solution for Physical Model of Disturbed Benjamin Equation

作　　者：许永红[1] 温朝晖[2] 徐惠[2] 莫嘉琪[3,4] 

机构地区：[1]蚌埠学院数理系,安徽蚌埠233030 [2]安徽财经大学统计与应用数学学院,安徽蚌埠233030 [3]安徽师范大学数学系,安徽芜湖241003 [4]上海高校计算科学E-研究院SJTU研究所,上海200240

出　　处：《吉林大学学报（理学版）》2011年第4期659-663,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:40876010);中国科学院知识创新工程重点项目(批准号:KZCX2-YW-Q03-08);LASG国家重点实验室专项经费;浙江省自然科学基金(批准号:Y6110502);安徽省高校自然科学研究项目(批准号:KJ2011A135;KJ2011Z003);上海市教育委员会E-研究院建设计划项目(批准号:E03004)

摘　　要：利用同伦映射方法研究广义非线性Benjamin方程的物理模型.构造了相应的同伦映射,选取了适当的初始近似,计算了各阶相应的孤子近似解,并对得到的孤波近似解进行精度比较,结果表明用同伦映射方法得到的近似解具有较好的精度.The physical model of generalized nonlinear disturbed Benjamin equation was considered.The homotopic mapping method was used to construct corresponding homotopic mapping.And then suitable initial approximation was selected,and the arbitrary order approximate solution of the soliton was calculated.A weakly disturbed equation was studied.The accuracy for the obtained approximate soliton was compared,and it was found that the obtained approximate soliton by the homotopic mapping method is of a good accuracy.

关 键 词：非线性 BENJAMIN方程 孤波 近似解析解 

分 类 号：O175.29[理学—数学]