Regarding new wave distributions of the non-linear integro-partial Ito differential and fifth-order integrable equations

被引:9
作者
Baskonus, Haci Mehmet [1 ]
Kayan, Mustafa [2 ]
机构
[1] Harran Univ, Fac Educ, Sanliurfa, Turkey
[2] Harran Univ, Fac Arts & Sci, Sanliurfa, Turkey
关键词
Integro-partial differential equation; Fifth-Order integrable model; Analytical method; Rational function solution; Complex Solution; Contour surface; Travelling wave solutions; Mixed dark-bright soliton; MATHEMATICAL-MODEL; HEAT-TRANSFER;
D O I
10.2478/AMNS.2021.1.00006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper applies a powerful scheme, namely Bernoulli sub-equation function method, to some partial differential equations with high non-linearity. Many new travelling wave solutions, such as mixed dark-bright soliton, exponential and complex domain, are reported. Under a suitable choice of the values of parameters, wave behaviours of the results obtained in the paper - in terms of 2D, 3D and contour surfaces - are observed.
引用
收藏
页码:81 / 100
页数:20
相关论文
共 41 条
  • [1] A new family of exact solutions to the unsteady Navier-Stokes equations using canonical transformation with complex coefficients
    AI-Mdallal, Qasem M.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 196 (01) : 303 - 308
  • [2] Sine-Cosine method for finding the soliton solutions of the generalized fifth-order nonlinear equation
    Al-Mdallal, Qasem M.
    Syam, Muhammad I.
    [J]. CHAOS SOLITONS & FRACTALS, 2007, 33 (05) : 1610 - 1617
  • [3] Analytical sequences of upper and lower solutions for a class of elliptic equations
    Al-Refai, Mohammed
    Syam, Muhammed
    Al-Mdallal, Qasem
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 374 (02) : 402 - 411
  • [4] New reliable tools to mathematically model chemical reaction systems
    Amin, Javad Sayyad
    Zendehboudi, Sohrab
    Eftekhari, Adel
    [J]. CHEMICAL ENGINEERING RESEARCH & DESIGN, 2019, 141 : 156 - 169
  • [5] Arjmandi-Tash O., 2019, CHEM ENG SCI X, V4
  • [6] A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
    Baleanu, Dumitru
    Jajarmi, Amin
    Mohammadi, Hakimeh
    Rezapour, Shahram
    [J]. CHAOS SOLITONS & FRACTALS, 2020, 134
  • [7] New singular soliton solutions to the longitudinal wave equation in a magneto-electro-elastic circular rod with M-derivative
    Baskonus, H. M.
    Gomez-Aguilar, J. F.
    [J]. MODERN PHYSICS LETTERS B, 2019, 33 (21):
  • [8] Baskonus HM., 2019, J. Appl. Sci, V21, P34
  • [9] Critical assessment of a new mathematical model for hysteresis effects on heat and mass transfer in porous building material
    Berger, Julien
    Busser, Thomas
    Colinart, Thibaut
    Dutykh, Denys
    [J]. INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2020, 151
  • [10] Mathematical deduction of a new model for calculation of heat transfer by condensation inside pipes
    Camaraza-Medina, Yanan
    Hernandez-Guerrero, Abel
    Luis Luviano-Ortiz, J.
    Cruz-Fonticiella, Oscar M.
    Garcia-Morales, Osvaldo F.
    [J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2019, 141 : 180 - 190