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
  • [31] Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation
    Sil, Subhankar
    Sekhar, T. Raja
    Dia Zeidan
    CHAOS SOLITONS & FRACTALS, 2020, 139
  • [32] Reducibility of a class of operators induced by the dispersive third order Benjamin-Ono equation
    Wu, Xiaoping
    Fu, Ying
    Qu, Changzheng
    JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (12)
  • [33] Construction of Riemann-Theta Function Solutions for Benjamin-Ono Equation Based on Symbolic Computation
    Yan, Lei
    Li, Ruijuan
    ADVANCES IN COMPUTER SCIENCE, INTELLIGENT SYSTEM AND ENVIRONMENT, VOL 3, 2011, 106 : 481 - 485
  • [34] On the exact solutions, lie symmetry analysis, and conservation laws of Schamel-Korteweg-de Vries equation
    Giresunlu, I. B.
    Ozkan, Y. Saglam
    Yasar, E.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (11) : 3927 - 3936
  • [35] Lie symmetries, exact solutions and conservation laws of the Oskolkov-Benjamin-Bona-Mahony-Burgers equation
    Ray, S. Saha
    MODERN PHYSICS LETTERS B, 2020, 34 (01):
  • [36] Lie Symmetry Analysis, Exact Solutions, Conservation Laws and Backlund Transformations of the Gibbons-Tsarev Equation
    Lu, Huanhuan
    Zhang, Yufeng
    SYMMETRY-BASEL, 2020, 12 (08):
  • [37] Integrability, conservation laws and exact solutions for a model equation under non-canonical perturbation expansions
    Wael, Shrouk
    Seadawy, Aly R.
    Moawad, S. M.
    EL-Kalaawy, O. H.
    JOURNAL OF GEOMETRY AND PHYSICS, 2022, 178
  • [38] On the Exact Solitary Wave Solutions to the New (2+1) and (3+1)-Dimensional Extensions of the Benjamin-Ono Equations
    Wu, Lan
    Zhang, Xiao
    Manafian, Jalil
    ADVANCES IN MATHEMATICAL PHYSICS, 2021, 2021
  • [39] On the similarity solutions and conservation laws of the Cooper-Shepard-Sodano equation
    Bruzon, M. S.
    Recio, E.
    Garrido, T. M.
    Marquez, A. P.
    de la Rosa, R.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (17) : 7325 - 7332
  • [40] GLOBAL PATHS OF TIME-PERIODIC SOLUTIONS OF THE BENJAMIN-ONO EQUATION CONNECTING PAIRS OF TRAVELING WAVES
    Ambrose, David M.
    Wilkening, Jon
    COMMUNICATIONS IN APPLIED MATHEMATICS AND COMPUTATIONAL SCIENCE, 2009, 4 (01) : 177 - 215
12345