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运用■-展开法并借助符合计算系统Maple,求出了(2+1)维非线性立方Klein-Gordon方程的多种精确解,这些解包括周期解、孤子解、指数函数解。
Abstract:By using the ■-expansion method and the coincidence calculation system maple, we get a varietyof exact solutions of the(2+1)-dimensional nonlinear cubic Klein-Gordon equation.These solutions include pe-riodic solutions, soliton solutions and exponential function solutions.
[1] 王明亮,李志斌,周宇斌.齐次平衡原理及其应用[J].兰州大学学报,1999,35(3):8-16.
[2] 李翊神.贝克隆变换和达布变换[J].数学年刊A辑(中文版),1987(2):139-148.
[3] HIROTA R.Exact solution of the korteweg-de vries equation for multiple collisions of solitons[J].Physical Review Letters,1971,27(18):1192.
[4] SATSUMA J.A wronskian representation of N-soliton solutions of nonlinear evolution equations[J].Journal of the Physical Society of Japan,1979,46(1):359-360.
[5] FENG Z S.The first integral method to study the Burgers-Korteweg-de-Vries equation[J].J Phys A,2002,35:343-349.
[6] BLUMAN G W.Review:Peter J.Olver,Applications of Lie groups to differential equations[J].Bulletin (New Series) of the American Mathematical Society,1988,18(1).
[7] 马志民.非线性Klein-Gordon方程的新精确解[J].高师理科学刊,2019,39(4):5-7,11.
[8] 于秀清.修正的w/g-展开法与非线性Klein-Gordon系统新的行波解[J].宝鸡文理学院学报(自然科学版),2016,36(2):11-18.
[9] 王晓利,侯颢天.(2+1)维非线性立方Klein-Gordon方程的精确解[J].电子技术与软件工程,2021(24):118-119.
[10] SEADAWY A R,Lu D C ,MUHAMMAD A.Stability analysis of solitary wave solutions for coupled and(2+1)-dimensional cubic klein-gordon equations and their applications[J].Communications in Theoretical Physi-cs,2018,69(6):676-686.
[11] MANAFIAN J,LAKESTNI M.Application of tan(phi(xi))-expansion method for solving the Biswas-Mil-ovic equation for Kerr law nonlinearity[J].Optik:Zeitschrift fur Licht- und Elektronenoptik:=Journal for Lig-ht and Electronoptic,2016,127(4):2040-2054.
[12] MANAFIAN J,LAKESTANI M.Abundant soliton solutions for the Kundu-Eckhaus equation via tan(phi(x-i))-expansion method[J].Optik - International Journal for Light and Electron Optics,2016,127(14):5543-5551.
[13] KHAN U,IRSHAD A,AHMED N,et al.Improved tan(phi(xi))-expansion method for (2+1)-dimensional KP-BBM wave e-quation[J].Optical and Quantum Electronics,2018,50(3):1-22.
[14] FAXLUL H M D,ROSHID H O .Optical soliton solutions of the Biswas-Arshed model by the tan(phi(xi))-ex-pansion approach[J].Physica Scripta:An International Journal for Experimental and Theoretical Physics,2020,95(7).
[15] 马致远,马志民.■展开法和立方非线性Schr?dinger方程精确解[J].河南科学,2021,39(5):689-695.
基本信息:
DOI:10.13990/j.issn1001-3679.2023.03.002
中图分类号:O175
引用信息:
[1]项芳婷,赵小山.tan■-展开法和(2+1)维非线性立方Klein-Gordon方程[J].江西科学,2023,41(03):436-439.DOI:10.13990/j.issn1001-3679.2023.03.002.
基金信息:
国家自然科学基金项目(12001404,11901435); 天津职业技术师范大学自然科学基金项目(KJ1814)
2023-06-15
2023-06-15