ON THE EXACT SOLUTIONS AND CONSERVATION LAWS TO THE BENJAMIN-ONO EQUATION

被引:11
|
作者
Kaplan, Melike [1 ]
San, Sait [1 ]
Bekir, Ahmet [1 ]
机构
[1] Eskisehir Osmangazi Univ, Dept Math Comp, Meselik Campus, TR-26040 Eskisehir, Turkey
来源
关键词
Partial differential equations; symbolic computation; exact solutions; conservation laws; multiplier approach; PARTIAL-DIFFERENTIAL-EQUATIONS; NONLINEAR EVOLUTION-EQUATIONS; SOLITARY WAVE SOLUTIONS; 1ST INTEGRAL METHOD; COEFFICIENTS; SOLITONS;
D O I
10.11918/2018.1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the present work, we dealt with exact solutions and conservation laws of the Benjamin-Ono equation. We obtained exact solutions of given equation via the exp(-Phi(xi)) method. The obtained solutions are included the hyperbolic functions, trigonometric functions and rational functions. By using the multiplier approach, the conservation laws of the mentioned equation was founded.
引用
收藏
页码:1 / 9
页数:9
相关论文
共 50 条
  • [31] Dynamics of solutions in the generalized Benjamin-Ono equation: A numerical study
    Roudenko, Svetlana
    Wang, Zhongming
    Yang, Kai
    arXiv, 2020,
  • [32] MULTI-SOLITION-LIKE SOLUTIONS TO BENJAMIN-ONO EQUATION
    JOSEPH, RI
    JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (12) : 2251 - 2258
  • [33] On the Integrability of the Benjamin-Ono Equation on the Torus
    Gerard, Patrick
    Kappeler, Thomas
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2020, : 1685 - 1747
  • [34] On the Benjamin-Ono equation in the half line
    Cardona, Duvan
    Esquivel, Liliana
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 212
  • [35] Perturbation theory for the Benjamin-Ono equation
    Kaup, DJ
    Lakoba, TI
    Matsuno, Y
    INVERSE PROBLEMS, 1999, 15 (01) : 215 - 240
  • [36] Spin generalizations of the Benjamin-Ono equation
    Berntson, Bjorn K.
    Langmann, Edwin
    Lenells, Jonatan
    arXiv, 2022,
  • [37] An explicit formula for the Benjamin-Ono equation
    Gerard, Patrick
    TUNISIAN JOURNAL OF MATHEMATICS, 2023, 5 (03) : 593 - 603
  • [38] A numerical method for the Benjamin-Ono equation
    Thomee, V
    Murthy, ASV
    BIT, 1998, 38 (03): : 597 - 611
  • [39] Computing wave solutions and conservation laws of conformable time-fractional Gardner and Benjamin-Ono equations
    Singh, Sudhir
    Sakthivel, R.
    Inc, M.
    Yusuf, A.
    Murugesan, K.
    PRAMANA-JOURNAL OF PHYSICS, 2021, 95 (01):
  • [40] Asymptotic Behavior of Solutions of the Dispersion Generalized Benjamin-Ono Equation
    Linares, F.
    Mendez, A.
    Ponce, G.
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2021, 33 (02) : 971 - 984