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# FUTUR. Portal de la Producció Científica dels Investigadors de la UPC

## Singular solutions for a class of traveling wave equations arising in hydrodynamics

Autor
Geyer, A.; Mañosa, V.
Tipus d'activitat
Document cientificotècnic
Data
2015-02-19
Codi
arXiv:1502.05158 [math.CA]
An¿lisis e identificaci¿n de sistemas con hist¿resis usando ¿rbitas peri¿dicas
Control, din¿mica i aplicacions
Repositori
http://hdl.handle.net/2117/26450
URL
http://arxiv.org/abs/1502.05158
Resum
We give an exhaustive characterization of singular weak solutions for ordinary differential equations of the form $\ddot{u}\,u + \frac{1}{2}\dot{u}^2 + F'(u) =0$, where $F$ is an analytic function. Our motivation stems from the fact that in the context of hydrodynamics several prominent equations are reducible to an equation of this form upon passing to a moving frame. We construct peaked and cusped waves, fronts with finite-time decay and compact solitary waves. We prove that one cannot obtain...
Citació
Geyer, A.; Mañosa, V. "Singular solutions for a class of traveling wave equations arising in hydrodynamics". 2015.
Paraules clau
Camassa-holm Equation, Integrable Vector Fields, Singular Ordinary Differential Equations, Traveling Waves.
Grup de recerca
CoDAlab - Control, Dinàmica i Aplicacions