An initial-boundary-value problem that approximate the quarter-plane problem for the Korteweg-de Vries equation

Nonlinear Analysis, Theory, Methods and Applications

Volumn 46, Issue 6, 2001, Pages 869-892

  Colin, Thierry ^a   Gisclon, Marguerite ^b  

^a UNIVERSITÉ BORDEAUX 1   (France)

^b UNIVERSITÉ DE SAVOIE   (France)

Author keywords

Boundary conditions; Korteweg de Vries; Quarter plane; Smoothing effects

Indexed keywords

COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; NONLINEAR SYSTEMS; SOLITONS; STABILITY CRITERIA; WATER WAVES; WAVE EQUATIONS;

CAUCHY PROBLEMS; SMOOTHING EFFECTS;

INITIAL VALUE PROBLEMS;

EID: 0035501532     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)00155-3     Document Type: Article

References (13)

1. Conservative, high-order numerical schemes for the generalized Korteweg-de Vries equation
2. The initial-value problem for the Korteweg-de Vries equation
3. The Korteweg-de Vries equation, posed in a quarter-plane
4. The Korteweg-de Vries equation in a quarter-plane, continuous dependence results
5. Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
6. Un problème mixte pour l'équation de Korteweg-de Vries sur un intervalle borné
7. Un problème aux limites pour l'équation de Korteweg-de Vries sur un intervalle borné
8. An initial-boundary-value problem for the Korteweg-de Vries equation posed on a finite interval
9. A bilinear with estimate with applications to the KdV equation
10. On the change of the form of long waves advancing in a rectangular canal and on a new type of long stationary waves
11. Sur un problème non linéaire