메뉴 건너뛰기




Volumn 152-153, Issue , 2001, Pages 145-162

Some remarks on a WKB method for the nonselfadjoint Zakharov-Shabat eigenvalue problem with analytic potentials and fast phase

Author keywords

Nonselfadjoint eigenvalue problems; WKB methods

Indexed keywords


EID: 0035873340     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(01)00166-X     Document Type: Article
Times cited : (28)

References (11)
  • 1
    • 0034398218 scopus 로고    scopus 로고
    • Spectral instability for some Schrödinger operators
    • A. Aslanyan, E.B. Davies, Spectral instability for some Schrödinger operators, Numerische Mathematik 85 (2000) 525-552.
    • (2000) Numerische Mathematik , vol.85 , pp. 525-552
    • Aslanyan, A.1    Davies, E.B.2
  • 2
    • 0030263239 scopus 로고    scopus 로고
    • Semiclassical eigenvalue distribution of the Zakharov-Shabat eigenvalue problem
    • Bronski J.C. Semiclassical eigenvalue distribution of the Zakharov-Shabat eigenvalue problem. Physica D. 97:1996;376-397.
    • (1996) Physica D , vol.97 , pp. 376-397
    • Bronski, J.C.1
  • 3
    • 0042781006 scopus 로고    scopus 로고
    • Numerical simulation of the semi-classical limit of the focusing nonlinear Schrödinger equation
    • Bronski J.C., Kutz J.N. Numerical simulation of the semi-classical limit of the focusing nonlinear Schrödinger equation. Phys. Lett. A. 254:1999;325-336.
    • (1999) Phys. Lett. a , vol.254 , pp. 325-336
    • Bronski, J.C.1    Kutz, J.N.2
  • 4
    • 33744584849 scopus 로고
    • Semiclassical approximations in wave mechanics
    • Berry M.V., Mount K.E. Semiclassical approximations in wave mechanics. Rep. Prog. Phys. 35:1972;315-397.
    • (1972) Rep. Prog. Phys. , vol.35 , pp. 315-397
    • Berry, M.V.1    Mount, K.E.2
  • 5
    • 0033472559 scopus 로고    scopus 로고
    • Semi-classical states for non-self-adjoint Schrödinger operators
    • Davies E.B. Semi-classical states for non-self-adjoint Schrödinger operators. Comm. Math. Phys. 200:1999;35-41.
    • (1999) Comm. Math. Phys. , vol.200 , pp. 35-41
    • Davies, E.B.1
  • 6
    • 0347468632 scopus 로고    scopus 로고
    • Onset of oscillations in nonsoliton pulses in nonlinear dispersive fibers
    • Forest M.G., McLaughlin K.T.-R. Onset of oscillations in nonsoliton pulses in nonlinear dispersive fibers. J. Nonlinear Sci. 8:1998;43-62.
    • (1998) J. Nonlinear Sci. , vol.8 , pp. 43-62
    • Forest, M.G.1    McLaughlin, K.T.-R.2
  • 7
    • 0003444726 scopus 로고    scopus 로고
    • Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation
    • S. Kamvissis, K.T.-R. McLaughlin, P.D. Miller, Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation, submitted to Ann. Math. Stud. (2000), http:/arXiv.org/abs/nlin.SI/0012034.
    • (2000) Submitted to Ann. Math. Stud.
    • Kamvissis, S.1    McLaughlin, K.T.-R.2    Miller, P.D.3
  • 9
    • 0002023137 scopus 로고    scopus 로고
    • On the semiclassical limit of the focusing nonlinear Schrödinger equation
    • Miller P.D., Kamvissis S. On the semiclassical limit of the focusing nonlinear Schrödinger equation. Phys. Lett. A. 247:1998;75-86.
    • (1998) Phys. Lett. a , vol.247 , pp. 75-86
    • Miller, P.D.1    Kamvissis, S.2
  • 11
    • 0002557939 scopus 로고
    • Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media
    • Zakharov V.E., Shabat A.B. Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media. Sov. Phys. JETP. 34:1972;62-69.
    • (1972) Sov. Phys. JETP , vol.34 , pp. 62-69
    • Zakharov, V.E.1    Shabat, A.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.