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Volumn 89, Issue 4, 2008, Pages 400-428

Khasminskii-Whitham averaging for randomly perturbed KdV equation

Author keywords

KdV equation; Random process; Whitham averaged equation

Indexed keywords


EID: 41149100058     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matpur.2007.12.003     Document Type: Article
Times cited : (39)

References (20)
  • 2
    • 33846275865 scopus 로고    scopus 로고
    • Instability zones of 1D periodic Schrödinger and Dirac operators
    • Djakov P., and Mityagin B. Instability zones of 1D periodic Schrödinger and Dirac operators. Russ. Math. Surv. 61 4 (2006)
    • (2006) Russ. Math. Surv. , vol.61 , Issue.4
    • Djakov, P.1    Mityagin, B.2
  • 3
    • 0347767249 scopus 로고
    • Hydrodynamics of weakly deformed soliton lattices, differential geometry and Hamiltonian theory
    • Dubrovin B.A., and Novikov S.P. Hydrodynamics of weakly deformed soliton lattices, differential geometry and Hamiltonian theory. Russ. Math. Surv. 44 (1989) 35-124
    • (1989) Russ. Math. Surv. , vol.44 , pp. 35-124
    • Dubrovin, B.A.1    Novikov, S.P.2
  • 5
    • 84980178052 scopus 로고
    • Multiphase averaging and the inverse spectral solutions of the Korteweg-de Vries equation
    • Flaschka H., Forest M.G., and McLaughlin D.W. Multiphase averaging and the inverse spectral solutions of the Korteweg-de Vries equation. Comm. Pure Appl. Math. 33 (1980) 739-784
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 739-784
    • Flaschka, H.1    Forest, M.G.2    McLaughlin, D.W.3
  • 7
    • 4243181839 scopus 로고    scopus 로고
    • Averaging principle for stochastic perturbations of multifrequency systems
    • Freidlin M.I., and Wentzell A.D. Averaging principle for stochastic perturbations of multifrequency systems. Stochastics and Dynamics 3 (2003) 393-408
    • (2003) Stochastics and Dynamics , vol.3 , pp. 393-408
    • Freidlin, M.I.1    Wentzell, A.D.2
  • 9
    • 0000182826 scopus 로고
    • On the averaging principle for Ito stochastic differential equations
    • (in Russian)
    • Khasminskii R.Z. On the averaging principle for Ito stochastic differential equations. Kybernetika 4 (1968) 260-279 (in Russian)
    • (1968) Kybernetika , vol.4 , pp. 260-279
    • Khasminskii, R.Z.1
  • 10
    • 33645129550 scopus 로고    scopus 로고
    • Estimates for the Hill operator, II
    • Korotyaev E. Estimates for the Hill operator, II. J. Diff. Equations 223 2 (2006) 229-260
    • (2006) J. Diff. Equations , vol.223 , Issue.2 , pp. 229-260
    • Korotyaev, E.1
  • 12
    • 34249975994 scopus 로고
    • The averaging method for two-dimensional "integrable" equations
    • Krichever I.M. The averaging method for two-dimensional "integrable" equations. Funct. Anal. Appl. 22 (1988) 200-213
    • (1988) Funct. Anal. Appl. , vol.22 , pp. 200-213
    • Krichever, I.M.1
  • 15
    • 41149107726 scopus 로고    scopus 로고
    • S.B. Kuksin, Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions, European Mathematical Society Publishing House, 2006, also see mp_arc 06-178
    • S.B. Kuksin, Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions, European Mathematical Society Publishing House, 2006, also see mp_arc 06-178
  • 17
    • 84980167496 scopus 로고
    • Hill's operator and hyperelliptic function theory in the presence of infinitely many branching points
    • McKean H., and Trubowitz E. Hill's operator and hyperelliptic function theory in the presence of infinitely many branching points. Comm. Pure Appl. Math. 29 (1976) 143-226
    • (1976) Comm. Pure Appl. Math. , vol.29 , pp. 143-226
    • McKean, H.1    Trubowitz, E.2
  • 18
    • 2942695660 scopus 로고
    • On the averaging principle for systems of stochastic differential equations
    • Veretennikov A.Yu. On the averaging principle for systems of stochastic differential equations. Mat. USSR Sb. 69 (1991) 271-284
    • (1991) Mat. USSR Sb. , vol.69 , pp. 271-284
    • Veretennikov, A.Yu.1
  • 20
    • 0002241274 scopus 로고
    • Existence et unicité de diffusion a valeurs dans un espace de Hilbert
    • Yor M. Existence et unicité de diffusion a valeurs dans un espace de Hilbert. Ann. Inst. Henri Poincaré 10 (1974) 55-88
    • (1974) Ann. Inst. Henri Poincaré , vol.10 , pp. 55-88
    • Yor, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.