Long time asymptotics of the korteweg-de vries equation
Publication
, Journal Article
Venakides, S
Published in: Transactions of the American Mathematical Society
January 1, 1986
We study the long time evolution of the solution to the Korteweg- de Vries equation with initial data u(x) which satisfy lim y(.x) = -1, lim U(x) = 0. (Formula presented) We show that as t →∞the step emits a wavetrain of solitons which asymptotically have twice the amplitude of the initial step. We derive a lower bound of the number of solitons separated at time t for t large. © 1986 American Mathematical Society.
Duke Scholars
Published In
Transactions of the American Mathematical Society
DOI
ISSN
0002-9947
Publication Date
January 1, 1986
Volume
293
Issue
1
Start / End Page
411 / 419
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Venakides, S. (1986). Long time asymptotics of the korteweg-de vries equation. Transactions of the American Mathematical Society, 293(1), 411–419. https://doi.org/10.1090/S0002-9947-1986-0814929-0
Venakides, S. “Long time asymptotics of the korteweg-de vries equation.” Transactions of the American Mathematical Society 293, no. 1 (January 1, 1986): 411–19. https://doi.org/10.1090/S0002-9947-1986-0814929-0.
Venakides S. Long time asymptotics of the korteweg-de vries equation. Transactions of the American Mathematical Society. 1986 Jan 1;293(1):411–9.
Venakides, S. “Long time asymptotics of the korteweg-de vries equation.” Transactions of the American Mathematical Society, vol. 293, no. 1, Jan. 1986, pp. 411–19. Scopus, doi:10.1090/S0002-9947-1986-0814929-0.
Venakides S. Long time asymptotics of the korteweg-de vries equation. Transactions of the American Mathematical Society. 1986 Jan 1;293(1):411–419.
Published In
Transactions of the American Mathematical Society
DOI
ISSN
0002-9947
Publication Date
January 1, 1986
Volume
293
Issue
1
Start / End Page
411 / 419
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics