scholarly journals Scattering and self-similar solutions for the nonlinear wave equation

2001 ◽  
Vol 47 (4) ◽  
pp. 2507-2518 ◽  
Author(s):  
Kunio Hidano
Keyword(s):  
Wave Equation ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Self Similar ◽  
Similar Solutions

scholarly journals Dynamical behavior of the strong dispersive nonlinear wave equation

2021 ◽  
Vol XXII C ◽  
pp. 3-11
Author(s):  
Mehmed Kodzha
Keyword(s):  
Wave Equation ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Dynamical Behavior ◽  
The Self ◽  
Self Similar ◽  
Similar Solutions

In this paper we consider the dynamical behavior of solutions near explicit self-similar solutions for a strong dispersive nonlinear wave equation. First we construct explicit self-similar solutions, then we investigate dynamical behavior of the solutions near to the self-similar solutions.

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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