The Riccati-Bernoulli subsidiary ordinary differential equation method to the coupled Higgs field equation

被引：0
|
作者：
Wei, Yi [1 ,2 ]
机构：
[1] Jining Med Univ, Sch Med Informat Engn, Rizhao 276826, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
来源：
ELECTRONIC RESEARCH ARCHIVE | 2023年 / 31卷 / 11期
关键词：
RB method; CHF equation; Backlund transformation; traveling wave solution; NLPDEs; SOLITON-SOLUTIONS; ELEMENT-METHOD; BOUSSINESQ; BREATHER; WAVES;
D O I：
10.3934/era.2023342
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By using the Riccati-Bernoulli (RB) subsidiary ordinary differential equation method, we proposed to solve kink-type envelope solitary solutions, periodical wave solutions and exact traveling wave solutions for the coupled Higgs field (CHF) equation. We get many solutions by applying the Backlund transformations of the CHF equation. The proposed method is simple and efficient. In fact, we can deal with some other classes of nonlinear partial differential equations (NLPDEs) in this manner.
引用
收藏
页码：6790 / 6802
页数：13
相关论文
共 50 条
  • [41] Asymptotic decomposition method for fractional order Riccati differential equation
    Lichae, Bijan Hasani
    Biazar, Jafar
    Ayati, Zainab
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2021, 9 (01): : 63 - 78
  • [42] Legendre Wavelets Method for the Solution of Quadratic Riccati Differential Equation
    Zhou, Fengying
    Xu, Xiaoyong
    INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND INFORMATION SCIENCES (ICCIS 2014), 2014, : 731 - 739
  • [43] Wavelet operational matrix method for solving the Riccati differential equation
    Li, Yuanlu
    Sun, Ning
    Zheng, Bochao
    Wang, Qi
    Zhang, Yingchao
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (03) : 483 - 493
  • [44] Asymptotics of an ordinary differential equation applied to partial differential equation
    Voulov, H
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (04) : 2061 - 2063
  • [45] APPLICATION OF SMOOTHING METHOD TO A STOCHASTIC ORDINARY DIFFERENTIAL EQUATION
    MORRISON, JA
    MCKENNA, J
    JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (08) : 2361 - &
  • [46] The Riccati method for the Helmholtz equation
    Lu, YY
    McLaughlin, JR
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1996, 100 (03): : 1432 - 1446
  • [47] The Integrable Conditions of Riccati Differential Equation
    赵临龙
    数学季刊, 1999, (03) : 67 - 70
  • [48] On stabilizing solutions to the Riccati differential equation
    O'Brien, RT
    THIRTIETH SOUTHEASTERN SYMPOSIUM ON SYSTEM THEORY (SSST), 1998, : 80 - 84
  • [49] A NOTE ON THE RICCATI DIFFERENTIAL-EQUATION
    HUA, ZJ
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 190 (01) : 285 - 293
  • [50] Solving the Matrix Differential Riccati Equation: A Lyapunov Equation Approach
    Nguyen, Thang
    Gajic, Zoran
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (01) : 191 - 194
12345