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

scholarly journals Global attractor for the generalized hyperelastic-rod equation

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Yunrui Bi ◽  
Xiaobo Lu ◽  
Weili Zeng ◽  
Zhe Sun
Keyword(s):  
Global Attractor ◽  
Hyperelastic Rod Equation ◽  
Rod Equation

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.

Blow-up phenomenon for a periodic rod equation

2006 ◽  
Vol 353 (6) ◽  
pp. 479-486 ◽  
Author(s):  
Yong Zhou
Keyword(s):  
Blow Up ◽  
Rod Equation
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