scholarly journals The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation

2020 ◽  
Author(s):  
Hongzi Cong ◽  
Xiaoping Yuan
Keyword(s):  
Wave Equation ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Invariant Tori

scholarly journals Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation

2003 ◽  
Vol 2003 (18) ◽  
pp. 1111-1136 ◽  
Author(s):  
Xiaoping Yuan
Keyword(s):  
Wave Equation ◽  
Nonlinear Wave ◽  
Invariant Manifold ◽  
Nonlinear Wave Equation ◽  
Wave Equations ◽  
Invariant Tori ◽  
Nonlinear Wave Equations ◽  
Elliptic Type ◽  
Quasiperiodic Solutions

It is shown that there are plenty of hyperbolic-elliptic invariant tori, thus quasiperiodic solutions for a class of nonlinear wave equations.

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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