Solutions for the Finite Deformation Elastic Rod Nonlinear Wave Equation

2013 ◽  
Vol 457-458 ◽  
pp. 358-361
Author(s):  
Jing Shi ◽  
Xin Li Yan ◽  
Qing Tian Deng
Keyword(s):  
Wave Equation ◽  
Nonlinear Equations ◽  
Nonlinear Wave ◽  
Analytical Solutions ◽  
Nonlinear Wave Equation ◽  
Finite Deformation ◽  
Function Method ◽  
Boussinesq Equations ◽  
Elastic Rod ◽  
Variant Boussinesq Equations

The solving process of the hyperbola function method is introduced in this paper. By using hyperbola function method, the analytical solutions of nonlinear wave equation of a finite deformation elastic circular rod and the variant Boussinesq equations are studied. The more physical specifications of these nonlinear equations have been identified.

scholarly journals Soliton solutions of nonlinear wave equation in finite de-formation elastic cylindrical rod by solitary wave ansatz method

2016 ◽  
Vol 4 (1) ◽  
pp. 12
Author(s):  
Salam Subhaschandra Singh
Keyword(s):  
Wave Equation ◽  
Solitary Wave ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Finite Deformation ◽  
Soliton Solutions ◽  
Nonlinear Evolution Equations ◽  
Mathematical Tool ◽  
Ansatz Method ◽  
Solitary Wave Ansatz Method

<p>In this paper, we consider nonlinear wave equation in finite deformation elastic cylindrical rod and obtain soliton solutions by Solitary Wave Ansatz method. It is shown that the ansatz method provides a very effective and powerful mathematical tool for obtaining solutions for Nonlinear Evolution Equations (NLEEs) in nonlinear Science.</p><div style="mso-element: para-border-div; border: none; border-bottom: solid windowtext 1.0pt; mso-border-bottom-alt: solid windowtext .25pt; padding: 0cm 0cm 1.0pt 0cm;"><p class="IJOPCMKeywards" style="margin-bottom: 0.0001pt; text-align: justify; border: none; padding: 0cm;"><span style="font-size: 8.0pt; mso-fareast-language: EN-US;">Elastic Rod; Finite Deformation; Nonlinear Wave Equation; Solitary Wave Ansatz Method; Soliton.</span></p></div>

Solution of nonlinear wave equation of elastic rod

2008 ◽  
Vol 29 (1) ◽  
pp. 61-66 ◽  
Author(s):  
Peng Guo ◽  
Lei Zhang ◽  
Ke-pu Lü ◽  
Wen-shan Duan
Keyword(s):  
Wave Equation ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Elastic Rod

On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history

2021 ◽  
Vol 62 (3) ◽  
pp. 031512
Author(s):  
Adel M. Al-Mahdi ◽  
Mohammad M. Al-Gharabli ◽  
Mohammad Kafini ◽  
Shadi Al-Omari
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Global Existence ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Past History
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