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
  • [1] Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation
    Alizadeh, Farzaneh
    Hashemi, Mir Sajjad
    Haji-Badali, Ali
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2022, 10 (03): : 608 - 616
  • [2] Low regularity conservation laws for the Benjamin-Ono equation
    Talbut, Blaine
    MATHEMATICAL RESEARCH LETTERS, 2021, 28 (03) : 889 - 905
  • [3] Lie Symmetry Analysis and Conservation Laws of Fractional Benjamin-Ono Equation
    Liu, Hui
    Yun, Yinshan
    SYMMETRY-BASEL, 2024, 16 (04):
  • [4] MEROMORPHIC SOLUTIONS OF THE BENJAMIN-ONO EQUATION
    CASE, KM
    PHYSICA A, 1979, 96 (1-2): : 173 - 182
  • [5] EXPLORING NONCLASSICAL SYMMETRIES FOR BENJAMIN-ONO EQUATION, LEADING TO EXACT SOLUTIONS
    Kaur, Lakhveer
    Wazwaz, Abdul-Majid
    Verma, Pallavi
    ROMANIAN REPORTS IN PHYSICS, 2024, 76 (03)
  • [6] Exact solutions of a mixed KdV+mKdV and Benjamin-Ono equation
    Carstea, AS
    Grecu, D
    Visinescu, A
    PHYSICS LETTERS A, 1998, 246 (1-2) : 82 - 86
  • [7] Exact Soliton Solutions for Second-Order Benjamin-Ono Equation
    Taghizadeh, Nasir
    Mirzazadeh, Mohammad
    Farahrooz, Foroozan
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2011, 6 (01): : 384 - 395
  • [8] GAUSSIAN MEASURES ASSOCIATED TO THE HIGHER ORDER CONSERVATION LAWS OF THE BENJAMIN-ONO EQUATION
    Tzvetkov, Nikolay
    Visciglia, Nicola
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2013, 46 (02): : 249 - 299
  • [9] ON THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE BENJAMIN-ONO EQUATION
    Munoz, Claudio
    Ponce, Gustavo
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (12) : 5303 - 5312
  • [10] On the propagation of regularities in solutions of the Benjamin-Ono equation
    Isaza, Pedro
    Linares, Felipe
    Ponce, Gustavo
    JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 270 (03) : 976 - 1000