Asymptotics of solutions to the boundary-value problem for the Korteweg-de Vries-Burgers equation on a half-line

Journal of Mathematical Analysis and Applications

Volumn 265, Issue 2, 2002, Pages 343-370

  Hayashi, Nakao ^a   Kaikina, Elena I ^b   Shishmarev, Ilia A ^c  

^a OSAKA UNIVERSITY   (Japan)

^b INSTITUTO TECNOLÓGICO DE MORELIA   (Mexico)

^c MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Dissipative nonlinear evolution equation; Half line; Korteweg de Vries Burgers equation; Large time asymptotics

Indexed keywords

EID: 0037081587     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2001.7717     Document Type: Article

References (9)

1. Decay of solutions of some nonlinear wave equations
2. Asymptotic behavior in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation
3. More results on the decay of the solutions to nonlinear dispersive wave equations
4. The dissipation of nonlinear dispersive waves; the case of asymptotically weak nonlinearity
5. Korteweg-de Vries-Burgers equation on half-line
6. Asymptotic behavior for large time of solutions to the nonlinear nonlocal Schrödinger equation on half-line
7. Asymptotic behavior for large time of solutions of Korteweg-de Vries equation with dissipation
8. Asymptotic relationship as t →∞ between solutions to some nonlinear equations
9. "Nonlinear Nonlocal Equations in the Theory of Waves"