摘要
本文主要利用扩展的G′/G展开法,由齐次平衡和辅助方程,提出各种不同形式的测试函数,特别是提出变系数测试函数,对经典的(3+1)维Boiti-Leon-Manna-Pempinelli(BLMP)方程和修正的BLMP方程进行计算和分析,得到相应的新精确解。这些解主要包含了双曲函数、三角函数和有理函数的变系数形式等。通过对新解中的自由参数和变系数进行分析和赋值,得到相应解的图形,并解释在不同条件下的非线性自然现象。
This paper proposes various forms of test functions,especially variable coefficient test functions with the extended G′/G expansion method based on homogeneous equilibrium and auxiliary equation.The classical (3+1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation and the modified BLMP equation are calculated and analyzed,and the corresponding new exact solutions are obtained.These solutions mainly include hyperbolic functions,trigonometric functions and the variable coefficient forms of rational functions.By analyzing and assigning the free parameters and variable coefficients of the new solutions,the graphs of corresponding solutions are obtained,and the nonlinear natural phenomena under different conditions are explained.
作者
林庆庆
黄发进
张明俊
刘廷青
崔静易
LIN Qingqing;HUANG Fajin;ZHANG Mingjun;LIU Tingqing;CUI Jingyi(School of Science,Guangxi University of Science and Technology,Liuzhou 545006,China;Liuzhou High School,Liuzhou 545006,China;School of Mathematics and Physics,China University of Geosciences,Wuhan 430074,China)
出处
《广西科技大学学报》
2022年第4期120-127,共8页
Journal of Guangxi University of Science and Technology
基金
国家自然科学基金项目(11861013)
广西高校中青年教师基础能力提升项目(2017KY0340)
广西大学生创新训练项目(202110594073)资助。
