TWO ANALYTICAL METHODS FOR TIME FRACTIONAL CAUDREY-DODD-GIBBON-SAWADA-KOTERA EQUATION

被引：7
|
作者：
Chen, Bin [1 ]
Lu, Jun-Feng [1 ]
机构：
[1] Zhejiang Gongshang Univ Hangzhou Coll Commerce, Hangzhou, Peoples R China
来源：
THERMAL SCIENCE | 2022年 / 26卷 / 03期
关键词：
time FCDGSKE; fractional complex transform; homotopy perturbation method; variational iteration method; VARIATIONAL ITERATION METHOD;
D O I：
10.2298/TSCI2203535C
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
This paper focuses on solving the time fractional Caudrey-Dodd-Gibbon-Sawa-da-Kotera equation (FCDGSKE). We propose two analytical methods based on the fractional complex transform, the variational iteration method and the ho-motopy perturbation method. problems associated with FCDGSKE are provided without linearization and complicated calculation. Numerical results show the main merits of the analytical approaches. The approximated solutions to the initial value
引用
收藏
页码：2535 / 2543
页数：9
相关论文
共 50 条
  • [31] A Backlund transformation and nonlinear superposition formula of the Caudrey-Dodd-Gibbon-Kotera-Sawada hierarchy
    Hu, XB
    Bullough, R
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (03) : 772 - 777
  • [32] Non-traveling wave solutions for the (2+1)-D Caudrey-Dodd-Gibbon-Kotera-Sawada equation
    Kang, Xiao-rong
    Xian Daquan
    Dai, Zhengde
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2015, 25 (03) : 617 - 628
  • [33] Characteristics of the interaction behavior between solitons in (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation
    Li, Lingfei
    Xie, Yingying
    Wang, Mancang
    RESULTS IN PHYSICS, 2020, 19
  • [34] Symmetry Reductions and Group-Invariant Solutions of (2+1)-Dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada Equation
    吕娜
    梅建琴
    张鸿庆
    Communications in Theoretical Physics, 2010, 53 (04) : 591 - 595
  • [35] Variety interaction solutions comprising lump solitons for the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation
    Zhuang, Jianhong
    Liu, Yaqing
    Zhuang, Ping
    AIMS MATHEMATICS, 2021, 6 (05): : 5370 - 5386
  • [36] Solitons and periodic waves for the (2+1)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics
    Deng, Gao-Fu
    Gao, Yi-Tian
    Su, Jing-Jing
    Ding, Cui-Cui
    Jia, Ting-Ting
    NONLINEAR DYNAMICS, 2020, 99 (02) : 1039 - 1052
  • [37] Characteristics of the Lumps and Stripe Solitons with Interaction Phenomena in the (2+1)-Dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada Equation
    Deng, Zhi-Hao
    Chang, Xia
    Tan, Jia-Ning
    Tang, Bing
    Deng, Ke
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2019, 58 (01) : 92 - 102
  • [38] Caudrey-Dodd-Gibbon-Kotera-Sawada方程的对称、精确解和守恒律
    王婷婷
    刘希强
    于金倩
    量子电子学报, 2011, 28 (04) : 385 - 390
  • [39] Interaction Behaviours Between Solitons and Cnoidal Periodic Waves for (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation
    程雪苹
    王建勇
    任博
    杨云青
    CommunicationsinTheoreticalPhysics, 2016, 66 (08) : 163 - 170
  • [40] Interaction Behaviours Between Solitons and Cnoidal Periodic Waves for (2+1)-Dimensional Caudrey Dodd Gibbon Kotera Sawada Equation
    Cheng, Xue-Ping
    Wang, Jian-Yong
    Ren, Bo
    Yang, Yun-Qing
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2016, 66 (02) : 163 - 170
12345