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：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 01期
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
  • [41] ON THE PROPAGATION OF REGULARITY FOR SOLUTIONS OF THE DISPERSION GENERALIZED BENJAMIN-ONO EQUATION
    Mendez, Argenis J.
    ANALYSIS & PDE, 2020, 13 (08): : 2399 - 2440
  • [42] Lie symmetries of Benjamin-Ono equation
    Zhao, Weidong
    Munir, Mobeen
    Murtaza, Ghulam
    Athar, Muhammad
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2021, 18 (06) : 9496 - 9510
  • [43] On the new extensions to the Benjamin-Ono equation
    Ali, Khalid Karam
    Nuruddeen, Rahmatullah Ibrahim
    Yildirim, Ahmet
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2020, 8 (03): : 424 - 445
  • [44] Symmetry algebra of the Benjamin-Ono equation
    Chetverikov, VN
    ACTA APPLICANDAE MATHEMATICAE, 1999, 56 (2-3) : 121 - 138
  • [45] Control and Stabilization of the Benjamin-Ono Equation in
    Laurent, Camille
    Linares, Felipe
    Rosier, Lionel
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2015, 218 (03) : 1531 - 1575
  • [46] A numerical method for the Benjamin-Ono equation
    V. Thomée
    A. S. Vasudeva Murthy
    BIT Numerical Mathematics, 1998, 38 : 597 - 611
  • [47] Operator splitting for the Benjamin-Ono equation
    Dutta, R.
    Holden, H.
    Koley, U.
    Risebro, N. H.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (11) : 6694 - 6717
  • [48] Spin generalizations of the Benjamin-Ono equation
    Berntson, Bjorn K.
    Langmann, Edwin
    Lenells, Jonatan
    LETTERS IN MATHEMATICAL PHYSICS, 2022, 112 (03)
  • [49] Benjamin-Ono equation with unbounded data
    Fonseca, G
    Linares, F
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 247 (02) : 426 - 447
  • [50] Rational solutions of a mixed KdV+mKdV and Benjamin-Ono equation
    Cârstea, AS
    Grecu, D
    Visinescu, A
    PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, 2000, : 82 - 88
12345