Periodic-soliton and periodic-type solutions of the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation by using BNNM

被引:25
作者
Shen, Jiang-Long [1 ,2 ,3 ,4 ,5 ]
Wu, Xue-Ying [1 ,2 ,3 ,4 ,5 ]
机构
[1] Shaanxi Prov Land Engn Construct Grp Co Ltd, Xian 710075, Peoples R China
[2] Shaanxi Prov Land Engn Construct Grp Co Ltd, Inst Land Engn & Technol, Xian 710021, Peoples R China
[3] Minist Nat Resources, Key Lab Degraded & Unused Land Consolidat Engn, Xian 710021, Peoples R China
[4] Shaanxi Prov Land Consolidat Engn Technol Res Ctr, Xian 710075, Peoples R China
[5] Minist Nat Resources, Land Engn Technol Innovat Ctr, Xian 710075, Peoples R China
关键词
Rogue wave; Bilinear neural network method; Symbolic calculation; NONLINEAR SCHRODINGER-EQUATION; COMPLEX WAVE SOLUTIONS; ROGUE WAVES; LUMP; BREATHER;
D O I
10.1007/s11071-021-06848-8
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This article focuses on the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. By using bilinear neural network method, the new test functions are constructed to find the analytical solution of the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. Using symbolic computing technology, periodic-soliton and periodic-type solutions of the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation are obtained. These new test functions can also be used to obtain the exact analytical solutions of other nonlinear partial differential equations.
引用
收藏
页码:831 / 840
页数:10
相关论文
共 39 条
  • [1] Backlund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation
    Chen, Si-Jia
    Ma, Wen-Xiu
    Lu, Xing
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 83
  • [2] Stair and Step Soliton Solutions of the Integrable (2+1) and (3+1)-Dimensional Boiti-Leon-Manna-Pempinelli Equations
    Darvishi, M. T.
    Najafi, M.
    Kavitha, L.
    Venkatesh, M.
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 58 (06) : 785 - 794
  • [3] Abundant complex wave solutions for the nonautonomous Fokas-Lenells equation in presence of perturbation terms
    Ding, Yao
    Osman, M. S.
    Wazwaz, Abdul-Majid
    [J]. OPTIK, 2019, 181 : 503 - 513
  • [4] Gai LT, 2020, NONLINEAR DYNAM, V100, P2715, DOI 10.1007/s11071-020-05554-1
  • [5] Lump-type solutions, rogue wave type solutions and periodic lump-stripe interaction phenomena to a (3+1)-dimensional generalized breaking soliton equation
    Gai, Litao
    Ma, Wen-Xiu
    Li, Mingchu
    [J]. PHYSICS LETTERS A, 2020, 384 (08)
  • [6] The new exact solutions of the Fifth-Order Sawada-Kotera equation using three wave method
    Guo, Yanfeng
    Li, Donglong
    Wang, Junxia
    [J]. APPLIED MATHEMATICS LETTERS, 2019, 94 : 232 - 237
  • [7] Higher-order hybrid waves for the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique
    Hu, Lei
    Gao, Yi-Tian
    Jia, Ting-Ting
    Deng, Gao-Fu
    Li, Liu-Qing
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 72 (02):
  • [8] Lump, breather and solitary wave solutions to new reduced form of the generalized BKP equation
    Kaur, Lakhveer
    Wazwaz, Abdul-Majid
    [J]. INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2019, 29 (02) : 569 - 579
  • [9] Solitary and rogue waves with controllable backgrounds for the non-autonomous generalized AB system
    Lan, Zhong-Zhou
    Su, Jing-Jing
    [J]. NONLINEAR DYNAMICS, 2019, 96 (04) : 2535 - 2546
  • [10] Solitons, Backlund transformation and Lax pair for a (2+1)-dimensional Broer-Kaup-Kupershmidt system in the shallow water of uniform depth
    Lan, Zhong-Zhou
    Gao, Yi-Tian
    Yang, Jin-Wei
    Su, Chuan-Qi
    Mao, Bing-Qing
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 44 : 360 - 372