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Lump-soliton, lump-multisoliton and lump-periodic solutions of a generalized hyperelastic rod equation

2021 ◽  
pp. 2150188
Author(s):  
S. T. R. Rizvi ◽  
Aly R. Seadawy ◽  
M. Younis ◽  
K. Ali ◽  
H. Iqbal
Keyword(s):  
Periodic Solutions ◽  
Kdv Equation ◽  
Periodic Waves ◽  
Hirota Bilinear Method ◽  
Bilinear Method ◽  
Generalized Kdv Equation ◽  
Hyperelastic Rod Equation ◽  
Rod Equation ◽  
Hirota Bilinear ◽  
Kink Soliton

In this paper, we will obtain lump-soliton solution for (1[Formula: see text]+[Formula: see text]1)-dimensional generalized hyperelastic rod equation, also known as generalized KdV equation by aid of Hirota bilinear method (HBM). We also obtain lump-multisoliton (which is an interaction of lump with one kink or two kink soliton) and lump-periodic solutions (which is formed by an interaction between lump and periodic waves). The dynamics of these solution are examined graphically by selecting significant parameters.

scholarly journals Some newly explored exact solitary wave solutions to nonlinear inhomogeneous Murnaghan’s rod equation of fractional order

2021 ◽  
Vol 15 (1) ◽  
pp. 97-110
Author(s):  
Mehwish Rani ◽  
Naveed Ahmed ◽  
Silvestru Sever Dragomir ◽  
Syed Tauseef Mohyud-Din ◽  
Ilyas Khan ◽  
...  
Keyword(s):  
Solitary Wave ◽  
Fractional Order ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Rod Equation

On solitonic solutions for the hyperelastic rod equation

Wave Motion ◽  
2019 ◽  
Vol 91 ◽  
pp. 102404 ◽  
Author(s):  
Andrus Salupere ◽  
Margus Rätsep
Keyword(s):  
Hyperelastic Rod Equation ◽  
Rod Equation

On elastic rod equation with forcing term: traveling wave solutions

2018 ◽  
Vol 11 (4) ◽  
pp. 173-181 ◽  
Author(s):  
Cesar A. Gomez ◽  
Hernan Garzon G. ◽  
Juan C. Hernandez
Keyword(s):  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Elastic Rod ◽  
Forcing Term ◽  
Wave Solutions ◽  
Rod Equation

scholarly journals The improved F-expansion method and its application to the MEE circular rod equation and the ZKBBM equation

2017 ◽  
Vol 4 (1) ◽  
pp. 1378530 ◽  
Author(s):  
Md. Shafiqul Islam ◽  
M. Ali Akbar ◽  
Kamruzzaman Khan ◽  
Theodore E. Simos
Keyword(s):  
Expansion Method ◽  
Rod Equation
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