메뉴 건너뛰기




Volumn 22, Issue 6, 2009, Pages 1259-1301

Breathing patterns in nonlinear relaxation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 67650735584     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/22/6/002     Document Type: Article
Times cited : (24)

References (32)
  • 1
    • 0002189021 scopus 로고
    • Scattering for the nonlinear Schrödinger equation: States that are close to a soliton
    • Buslaev V S and Perelman G S 1992 Scattering for the nonlinear Schrödinger equation: states that are close to a soliton Algebra i Analiz 4 63-102 (in Russian)
    • (1992) Algebra i Analiz , vol.4 , pp. 63-102
    • Buslaev, V.S.1    Perelman, G.S.2
  • 5
    • 32044463161 scopus 로고    scopus 로고
    • Enhanced quantum reflection of matter-wave solitons
    • DOI 10.1209/epl/i2005-10408-4
    • Lee C and Brand J 2006 Enhanced quantum reflection of matter-wave solitons Europhys. Lett. 73 321-7 (Pubitemid 43191961)
    • (2006) Europhysics Letters , vol.73 , Issue.3 , pp. 321-327
    • Lee, C.1    Brand, J.2
  • 6
    • 0007603725 scopus 로고
    • Soliton-defect collisions in the nonlinear Schrödinger equation
    • Cao X D and Malomed B A 1995 Soliton-defect collisions in the nonlinear Schrödinger equation Phys. Lett. A 206 177-82
    • (1995) Phys. Lett. , vol.206 , Issue.3-4 , pp. 177-182
    • Cao, X.D.1    Malomed, B.A.2
  • 7
    • 0038336602 scopus 로고    scopus 로고
    • Long-time asymptotics for solutions of the NLS equation with initial data in weighted Sobolev spaces
    • Deift P A and Zhou X 2003 Long-time asymptotics for solutions of the NLS equation with initial data in weighted Sobolev spaces Commun. Pure Appl. Math. 56 1029-77
    • (2003) Commun. Pure Appl. Math. , vol.56 , Issue.8 , pp. 1029-1077
    • Deift, P.A.1    Zhou, X.2
  • 8
    • 0002469949 scopus 로고
    • Long-time asymptotics for integrable nonlinear wave equations
    • Deift P A, Its A R and Zhou X 1993 Long-time asymptotics for integrable nonlinear wave equations Important Developments in Soliton Theory (Springer Series on Nonlinear Dynamics) (Berlin: Springer) pp 181-204
    • (1993) Important Developments in Soliton Theory , pp. 181-204
    • Deift, P.A.1    Its, A.R.2    Zhou, X.3
  • 10
    • 0036768819 scopus 로고    scopus 로고
    • Integrable nonlinear evolution equations on the half-line
    • DOI 10.1007/s00220-002-0681-8
    • Fokas A S 2002 Integrable nonlinear evolution equations on the half-line Commun. Math. Phys. 230 1-39 (Pubitemid 36185799)
    • (2002) Communications in Mathematical Physics , vol.230 , Issue.1 , pp. 1-39
    • Fokas, A.S.1
  • 12
    • 33846839312 scopus 로고    scopus 로고
    • On soliton dynamics in nonlinear Schrödinger equations
    • Gang Z and Sigal I M 2006 On soliton dynamics in nonlinear Schrödinger equations Geom. Funct. Anal. 16 1377-90
    • (2006) Geom. Funct. Anal. , vol.16 , Issue.6 , pp. 1377-1390
    • Gang, Z.1    Sigal, I.M.2
  • 13
    • 67650756864 scopus 로고    scopus 로고
    • Dynamics of nonlinear Schrödinger Gross-Pitaevskii Equations: Mass transfer in systems with solitons and degenerate neutral modes
    • Gang Z and Weinstein M I 2008 Dynamics of nonlinear Schrödinger Gross-Pitaevskii Equations: mass transfer in systems with solitons and degenerate neutral modes Analysis & PDE 1 267-322
    • (2008) Analysis & PDE , vol.1 , pp. 267-322
    • Gang, Z.1    Weinstein, M.I.2
  • 14
    • 2342576894 scopus 로고    scopus 로고
    • Strong NLS soliton-defect interactions
    • Goodman R H, Holmes P J and Weinstein M I 2004 Strong NLS soliton-defect interactions Physica D 192 215-48
    • (2004) Physica , vol.192 , Issue.3-4 , pp. 215-248
    • Goodman, R.H.1    Holmes, P.J.2    Weinstein, M.I.3
  • 15
    • 34547337563 scopus 로고    scopus 로고
    • Fast soliton scattering by delta impurities
    • Holmer J, Marzuola J and Zworski M 2007 Fast soliton scattering by delta impurities Commun. Math. Phys. 274 187-216
    • (2007) Commun. Math. Phys. , vol.274 , Issue.1 , pp. 187-216
    • Holmer, J.1    Marzuola, J.2    Zworski, M.3
  • 17
    • 43049116018 scopus 로고    scopus 로고
    • Slow soliton interaction with delta impurities
    • Holmer J and Zworski M 2007 Slow soliton interaction with delta impurities J. Mod. Dyn. 1 689-718
    • (2007) J. Mod. Dyn. , vol.1 , pp. 689-718
    • Holmer, J.1    Zworski, M.2
  • 18
    • 67650756865 scopus 로고    scopus 로고
    • Soliton interaction with slowly varying potentials
    • Holmer J and Zworski M 2008 Soliton interaction with slowly varying potentials IMRN Int. Math. Res. Not. 36pp Art. ID runn026
    • (2008) IMRN Int. Math. Res. Not.
    • Holmer, J.1    Zworski, M.2
  • 20
    • 0016962049 scopus 로고
    • Closure of the squared Zakharov-Shabat eigenstates
    • Kaup D J 1976 Closure of the squared Zakharov-Shabat eigenstates J. Math. Anal. Appl. 54 849-64
    • (1976) J. Math. Anal. Appl. , vol.54 , Issue.3 , pp. 849-864
    • Kaup, D.J.1
  • 21
    • 0001290416 scopus 로고
    • Perturbation theory for solitons in optical fibers
    • Kaup D J 1990 Perturbation theory for solitons in optical fibers Phys. Rev. A 42 5689-94
    • (1990) Phys. Rev. , vol.42 , Issue.9 , pp. 5689-5694
    • Kaup, D.J.1
  • 22
    • 33749459423 scopus 로고    scopus 로고
    • Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension
    • DOI 10.1090/S0894-0347-06-00524-8
    • Krieger J and Schlag W 2006 Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension J. Am. Math. Soc. 19 815-920 (Pubitemid 44519990)
    • (2006) Journal of the American Mathematical Society , vol.19 , Issue.4 , pp. 815-920
    • Krieger, J.1    Schlag, W.2
  • 23
    • 43049140512 scopus 로고    scopus 로고
    • Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential
    • Le Coz S, Fukuizimi R, Fibich G, Ksherim B and Sivan Y 2008 Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential Physica D: Nonlinear Phenomena 237 1103-28
    • (2008) Physica D: Nonlinear Phenomena , vol.237 , Issue.8 , pp. 1103-1128
    • Le Coz, S.1    Fukuizimi, R.2    Fibich, G.3    Ksherim, B.4    Sivan, Y.5
  • 24
    • 33750419023 scopus 로고    scopus 로고
    • Spectral theory and nonlinear partial differential equations: A survey
    • Schlag W 2006 Spectral theory and nonlinear partial differential equations: a survey Discrete Contin. Dyn. Syst. 15 703-23 (Pubitemid 44637942)
    • (2006) Discrete and Continuous Dynamical Systems , vol.15 , Issue.3 , pp. 703-723
    • Schlag, W.1
  • 25
    • 36148967767 scopus 로고    scopus 로고
    • Spectral splitting method for nonlinear Schrödinger equations with singular potential
    • Sacchetti A 2007 Spectral splitting method for nonlinear Schrödinger equations with singular potential J. Comput. Phys. 227 1483-99
    • (2007) J. Comput. Phys. , vol.227 , Issue.2 , pp. 1483-1499
    • Sacchetti, A.1
  • 26
    • 40949165861 scopus 로고    scopus 로고
    • Elementary linear algebra for advanced spectral problems
    • Sjöstrand J and Zworski M 2007 Elementary linear algebra for advanced spectral problems Ann. Inst. Fourier (Grenoble) 57 2095-141
    • (2007) Ann. Inst. Fourier (Grenoble) , vol.57 , pp. 2095-2141
    • Sjöstrand, J.1    Zworski, M.2
  • 27
    • 0033460613 scopus 로고    scopus 로고
    • Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
    • Soffer A and Weinstein M I 1999 Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations Invent. Math. 136 9-74
    • (1999) Invent. Math. , vol.136 , Issue.1 , pp. 9-74
    • Soffer, A.1    Weinstein, M.I.2
  • 28
    • 34547343359 scopus 로고    scopus 로고
    • Potential Scattering on the Real Line
    • Tang S H and Zworski M Potential Scattering on the Real Line Lecture notes http://www.math.berkeley.edu/∼zworski/tz1.pdf
    • Lecture Notes
    • Tang, S.H.1    Zworski, M.2
  • 29
    • 0036350836 scopus 로고    scopus 로고
    • Relaxation of excited states in nonlinear Schrödinger equations
    • Tsai T P and Yau H T 2002 Relaxation of excited states in nonlinear Schrödinger equations Int. Math. Res. Not. 31 1629-73
    • (2002) Int. Math. Res. Not. , vol.2002 , Issue.31 , pp. 1629-1673
    • Tsai, T.P.1    Yau, H.T.2
  • 30
    • 84990553584 scopus 로고
    • Lyapunov stability of ground states of nonlinear dispersive evolution equations
    • Weinstein M I 1986 Lyapunov stability of ground states of nonlinear dispersive evolution equations Commun. Pure. Appl. Math. 29 51-68
    • (1986) Commun. Pure. Appl. Math. , vol.39 , Issue.1 , pp. 51-68
    • Weinstein, M.I.1
  • 31
    • 0034345941 scopus 로고    scopus 로고
    • Complete eigenfunctions of linearized integrable equations expanded around a soliton solution
    • Yang J 2000 Complete eigenfunctions of linearized integrable equations expanded around a soliton solution J. Math. Phys. 41 6614-38
    • (2000) J. Math. Phys. , vol.41 , Issue.9 , pp. 6614-6638
    • Yang, J.1
  • 32
    • 0002557939 scopus 로고
    • Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media
    • Zakharov V E and Shabat A B 1972 Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media Soviet Physics JETP 34 62-9
    • (1972) Soviet Physics JETP , vol.34 , pp. 62-69
    • Zakharov, V.E.1    Shabat, A.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.