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广义(2+1)维Boussinesq方程的初值扰动lump解和怪波解及动力学局域激发模式

The Lump Solution and Rogue Wave Solution with Initial Value Perturbation of Generalized(2+1)-dimension Boussinesq Equation and Dynamic Local Excitation Mode
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摘要 应用扰动双线性法得到广义(2+1)维Boussinesq方程的初值扰动双线性结构方程,通过测试函数的两种拟设形式获得了方程的lump解和怪波解以及对应的初值扰动分岔点,给出了lump解在6种初值扰动参数环境下的动力学局域激发模式。 The initial value perturbation biliner structural equation of the generalized(2+1)-dimension Boussinesq equation was obtained by applying the perturbation bilinear method.Two pseudo-forms of test function were used to obtain the lump solution and rogue wave solution of the equation and corresponding initial value perturbation bifurcation points.The dynamic local excitation modes of lump solution under 6 initial value perturbation parameters were provided.
作者 康晓蓉 鲜大权 鲜骊珠 KANG Xiaorong;XIAN Daquan;XIAN Lizhu(School of Mathematics and Physics,Southwest University of Science and Technology,Mianyang 621010,Sichuan,China;Chengdu University of Technology Sino-British Collaborative Education,Chengdu 610059,Sichuan,China)
出处 《西南科技大学学报》 CAS 2022年第2期98-104,共7页 Journal of Southwest University of Science and Technology
基金 四川省高等教育人才培养质量和教学改革项目(JG2021-908)。
关键词 广义(2+1)维Boussinesq方程 双线性法 lump解 怪波解 局域激发模式 Generalized(2+1)-dimension Boussinesq equation Bilinear method Lump solution Rogue wave solution Local excitation mode
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