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Volumn 146, Issue 1-4, 2000, Pages 150-164

The eigenvalue problem for the focusing nonlinear Schrödinger equation: New solvable cases

Author keywords

Focusing nonlinear Schr dinger equation; Hypergeometric functions; Semi classical limit; Zakharov Shabat eigenvalue problem

Indexed keywords


EID: 0039741902     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(00)00126-3     Document Type: Article
Times cited : (44)

References (12)
  • 1
    • 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
  • 2
    • 0012397937 scopus 로고
    • Semiclassical behavior in the NLS equation: Optical shocks - Focusing instabilities
    • in: N. Ercolani, I. Gabitov, D. Serre (Eds.), Plenum Press, New York
    • J.C. Bronski, D.W. McLaughlin, Semiclassical behavior in the NLS equation: optical shocks - focusing instabilities, in: N. Ercolani, I. Gabitov, D. Serre (Eds.), Singular Limits of Dispersive Waves, NATO ASI Series B, Vol. B320, Plenum Press, New York, 1994.
    • (1994) Singular Limits of Dispersive Waves, NATO ASI Series B , vol.VOL. B320
    • Bronski, J.C.1    McLaughlin, D.W.2
  • 3
    • 0001525213 scopus 로고
    • A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the mKdV equation
    • Deift P., Zhou X. A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the mKdV equation. Ann. Math. 137:1993;295-370.
    • (1993) Ann. Math. , vol.137 , pp. 295-370
    • Deift, P.1    Zhou, X.2
  • 4
    • 0000183376 scopus 로고    scopus 로고
    • New results in the small-dispersion KdV by an extension of the method of steepest descent for Riemann-Hilbert problems
    • Deift P., Venakides S., Zhou X. New results in the small-dispersion KdV by an extension of the method of steepest descent for Riemann-Hilbert problems. IMRN. 6:1997;285-299.
    • (1997) IMRN , vol.6 , pp. 285-299
    • Deift, P.1    Venakides, S.2    Zhou, X.3
  • 6
    • 0000953038 scopus 로고
    • The behavior of solutions of the NLS equation in the semiclassical limit
    • in: N. Ercolani, I. Gabitov, D. Levermore, D. Serre (Eds.), Plenum Press, New York
    • S. Jin, C.D. Levermore, D.W. McLaughlin, The behavior of solutions of the NLS equation in the semiclassical limit, in: N. Ercolani, I. Gabitov, D. Levermore, D. Serre (Eds.), Singular Limits of Dispersive Waves, NATO ASI Series B, Vol. 320, Plenum Press, New York, 1994.
    • (1994) Singular Limits of Dispersive Waves, NATO ASI Series B , vol.320
    • Jin, S.1    Levermore, C.D.2    McLaughlin, D.W.3
  • 7
    • 0039214767 scopus 로고    scopus 로고
    • S. Kamvissis, P.D. Miller, K.T.-R. McLaughlin, private communication
    • S. Kamvissis, P.D. Miller, K.T.-R. McLaughlin, private communication.
  • 12
    • 0002557939 scopus 로고
    • Exact theory of two-dimensional self-focusing and one-dimension self-modulation of waves in nonlinear media
    • V.E. Zakharov, A.B. Shabat, Exact theory of two-dimensional self-focusing and one-dimension self-modulation of waves in nonlinear media, Sov. Phys. JETP, 34 (1) (1972).
    • (1972) Sov. Phys. JETP , vol.34 , Issue.1
    • Zakharov, V.E.1    Shabat, A.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.