rosenau equation
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scholarly journals On the Rosenau equation: Lie symmetries, periodic solutions and solitary wave dynamics

Wave Motion ◽  
2021 ◽  
pp. 102848
Author(s):  
Ali Demirci ◽  
Yasin Hasanoğlu ◽  
Gulcin M. Muslu ◽  
Cihangir Özemir
Keyword(s):  
Solitary Wave ◽  
Periodic Solutions ◽  
Lie Symmetries ◽  
Wave Dynamics ◽  
Rosenau Equation

scholarly journals Traveling Wave Solution of the Olver–Rosenau Equation Solved by Dynamics System

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Mei Xiong ◽  
Longwei Chen ◽  
Na Yang
Keyword(s):  
Phase Space ◽  
Engineering Application ◽  
First Integral ◽  
Traveling Wave Solution ◽  
Wave Transformation ◽  
Parameter Spaces ◽  
Point Analysis ◽  
Production Practice ◽  
Rosenau Equation ◽  
Equilibrium Point Analysis

Olver–Rosenau equations presented by Olver and Rosenau can be rewritten to the dynamic system by the wave transformation. The system is a Hamiltonian system with the first integral, and its phase-space and equilibrium point analysis are given in different parameter spaces in detail. On this basis, we can derive various solutions of the original equation relating these orbits in different phase-space planes, and the theoretical basis of the numerical solution is provided for engineering application and production practice.

scholarly journals Radial Basis Function Methods for the Rosenau Equation and Other Higher Order PDEs

2017 ◽  
Vol 75 (3) ◽  
pp. 1555-1580 ◽  
Author(s):  
Ali Safdari-Vaighani ◽  
Elisabeth Larsson ◽  
Alfa Heryudono
Keyword(s):  
Radial Basis Function ◽  
Basis Function ◽  
Higher Order ◽  
Radial Basis ◽  
Rosenau Equation
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