PERTURBATION OF DISPERSIVE SHALLOW WATER WAVES WITH ROSENAU-KdV-RLW EQUATION AND POWER LAW NONLINEARITY

被引：0
|
作者：
Razborova, P. [1 ]
Moraru, L. [2 ]
Biswas, A. [1 ,3 ]
机构：
[1] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA
[2] Univ Dunarea de Jos Galati, Fac Sci, Dept Phys Chem & Environm, Galati 800201, Romania
[3] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
来源：
ROMANIAN JOURNAL OF PHYSICS | 2014年 / 59卷 / 7-8期
关键词：
solitons; singular solitons; dispersion; integrability; INTEGRABLE COUPLINGS; TOPOLOGICAL SOLITONS; PETVIASHVILI; DYNAMICS; GORDON; KINKS;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper studied dynamical features of dispersive shallow water waves that are modeled by Rosenau-KdV-RLW equation. This model is generalized to power law nonlinearity. Soliton perturbation theory is applied to obtain the adiabatic dynamics of soliton parameters. Ansatz method also obtains exact 1-soliton solution to perturbed Rosenau-KdV-RLW equation. Finally, semi-inverse variational principle gives an analytical 1-soliton solution to this model.
引用
收藏
页码：658 / 676
页数：19
相关论文
共 50 条
  • [1] Solitons, Shock Waves and Conservation Laws of Rosenau-KdV-RLW Equation with Power Law Nonlinearity
    Razborova, Polina
    Ahmed, Bouthina
    Biswas, Anjan
    [J]. APPLIED MATHEMATICS & INFORMATION SCIENCES, 2014, 8 (02): : 485 - 491
  • [2] NUMERICAL APPROACH OF DISPERSIVE SHALLOW WATER WAVES WITH ROSENAU-KDV-RLW EQUATION IN (2+1)-DIMENSIONS
    Labidi, Samira
    Rahmeni, Mohamed
    Omrani, Khaled
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023, 16 (08): : 2157 - 2176
  • [3] Additional conservation laws for Rosenau-KdV-RLW equation with power law nonlinearity by Lie symmetry
    Razborova, Polina
    Kara, Abdul H.
    Biswas, Anjan
    [J]. NONLINEAR DYNAMICS, 2015, 79 (01) : 743 - 748
  • [4] SOLITONS AND SHOCK WAVES SOLUTIONS FOR THE ROSENAU-KDV-RLW EQUATION
    Karakoc, Seydi Battal Gazi
    Gao, Fuzheng
    Bhowmik, Samir Kumar
    [J]. JOURNAL OF SCIENCE AND ARTS, 2018, (04): : 1073 - 1088
  • [5] Solitons and Other Solutions to Perturbed Rosenau-KdV-RLW Equation with Power Law Non linearity
    Sanchez, P.
    Esadi, G.
    Mojaver, A.
    Mirzazadeh, M.
    Eslami, M.
    Biswas, A.
    [J]. ACTA PHYSICA POLONICA A, 2015, 127 (06) : 1577 - 1586
  • [6] Solitary Wave Solutions of the Generalized Rosenau-KdV-RLW Equation
    Avazzadeh, Zakieh
    Nikan, Omid
    Machado, Jose A. Tenreiro
    [J]. MATHEMATICS, 2020, 8 (09)
  • [7] Additional conservation laws for Rosenau–KdV–RLW equation with power law nonlinearity by Lie symmetry
    Polina Razborova
    Abdul H. Kara
    Anjan Biswas
    [J]. Nonlinear Dynamics, 2015, 79 : 743 - 748
  • [8] CHEBYSHEV RATIONAL APPROXIMATIONS FOR THE ROSENAU-KDV-RLW EQUATION ON THE WHOLE LINE
    Foroutan, Mohammadreza
    Ebadian, Ali
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2018, 16 (01): : 1 - 15
  • [9] Two efficient numerical methods for solving Rosenau-KdV-RLW equation
    Ozer, Sibel
    [J]. KUWAIT JOURNAL OF SCIENCE, 2021, 48 (01) : 14 - 24
  • [10] Numerical simulation for treatment of dispersive shallow water waves with Rosenau-KdV equation
    Turgut Ak
    S. Battal Gazi Karakoc
    Houria Triki
    [J]. The European Physical Journal Plus, 131
12345