| Full text | |
| Author(s): |
Arruda, Lynnyngs K.
Total Authors: 1
|
| Document type: | Journal article |
| Source: | ELECTRONIC RESEARCH ARCHIVE; v. 30, n. 6, p. 18-pg., 2022-01-01. |
| Abstract | |
The deterministic Degasperis-Procesi equation admits weak multi-shockpeakon solutions of the form n where sgn(x) denotes the signum function with sgn(0) = 0, if and only if the time-dependent parameters xi(t) (positions), mi(t) (momenta) and si(t) (shock strengths) satisfy a system of 3n ordinary differential equations. We prove that a stochastic perturbation of the Degasperis-Procesi equation also has weak multi-shockpeakon solutions if and only if the positions, momenta and shock strengths obey a system of 3n stochastic differential equations. (AU) | |
| FAPESP's process: | 21/05935-4 - Existence and properties of travelling wave solutions for deterministic and stochastic nonlinear partial differential equations of second order |
| Grantee: | Lynnyngs Kelly Arruda Saraiva de Paiva |
| Support Opportunities: | Regular Research Grants |