Some Latest Families of Exact Solutions to Date-Jimbo-Kashiwara-Miwa Equation and Its Stability Analysis

被引：4
|
作者：
Akbulut, Arzu [1 ]
Alqahtani, Rubayyi T. [2 ]
Alharthi, Nadiyah Hussain [2 ]
机构：
[1] Uludag Univ, Art Sci Fac, Dept Math, TR-16059 Bursa, Turkiye
[2] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, Riyadh 11432, Saudi Arabia
来源：
MATHEMATICS | 2023年 / 11卷 / 19期
关键词：
symbolic computation; modified Kudryashov method; (g ')-expansion method; stability analysis; TRAVELING-WAVE SOLUTIONS; SYSTEM; KDV;
D O I：
10.3390/math11194176
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present study demonstrates the derivation of new analytical solutions for the Date-Jimbo-Kashiwara-Miwa equation utilizing two distinct methodologies, specifically the modified Kudryashov technique and the (g')-expansion procedure. These innovative concepts employ symbolic computations to provide a dynamic and robust mathematical procedure for addressing a range of nonlinear wave situations. Additionally, a comprehensive stability analysis is performed, and the acquired results are visually represented through graphical representations. A comparison between the discovered solutions and those already found in the literature has also been performed. It is anticipated that the solutions will contribute to the existing literature related to mathematical physics and soliton theory.
引用
收藏
页数：11
相关论文
共 50 条
  • [21] Soliton and other solutions of the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation with conformable derivative
    Ozdemir, Neslihan
    Secer, Aydin
    Ozisik, Muslum
    Bayram, Mustafa
    PHYSICA SCRIPTA, 2023, 98 (01)
  • [22] Analytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
    Ali, Khalid K.
    Mehanna, Mona S.
    Wazwaz, Abdul-Majid
    NONLINEAR ENGINEERING - MODELING AND APPLICATION, 2021, 10 (01): : 187 - 200
  • [23] Cauchy matrix structure and the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
    Zhang, Xinyuan
    Li, Chunxia
    Zhou, Zhen
    Shen, Tong
    PHYSICA SCRIPTA, 2025, 100 (02)
  • [24] Construction of abundant solutions of the (2+1)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation
    Kang, Zhou-Zheng
    Xia, Tie-Cheng
    APPLIED MATHEMATICS LETTERS, 2020, 103
  • [25] Lie symmetry reductions and generalized exact solutions of Date-Jimbo- Kashiwara-Miwa equation
    Tanwar, Dig Vijay
    CHAOS SOLITONS & FRACTALS, 2022, 162
  • [26] Grammian solutions for a (2+1)-dimensional integrable coupled modified Date-Jimbo-Kashiwara-Miwa equation
    Wang, Sheng-Nan
    Hu, Juan
    MODERN PHYSICS LETTERS B, 2019, 33 (10):
  • [27] New algorithm for deriving rational form solutions in the generalized Date-Jimbo-Kashiwara-Miwa model
    Darweesh, Amer
    Alquran, Marwan
    PHYSICA SCRIPTA, 2024, 99 (10)
  • [28] Analytical solutions and molecule states of the (3+1)-dimensional variable coecient Date-Jimbo-Kashiwara-Miwa equation
    Ma, Hongcai
    Su, Nan
    Deng, Aiping
    PHYSICA SCRIPTA, 2025, 100 (01)
  • [29] Rational solutions, and the interaction solutions to the (2+1)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation
    Ismael, Hajar F.
    Seadawy, Aly
    Bulut, Hasan
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 98 (12) : 2369 - 2377
  • [30] Bilinear form, solitons, breathers, lumps and hybrid solutions for a (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
    Wang, Dong
    Gao, Yi-Tian
    Yu, Xin
    Li, Liu-Qing
    Jia, Ting-Ting
    NONLINEAR DYNAMICS, 2021, 104 (02) : 1519 - 1531
12345