메뉴 건너뛰기




Volumn 191, Issue 1-2, 2004, Pages 49-80

Variational principles, Lie point symmetries, and similarity solutions of the vector Maxwell equations in non-linear optics

Author keywords

Non linear optics; Similarity solutions; Traveling waves; Vector Maxwell's equations

Indexed keywords

APPROXIMATION THEORY; ELECTRIC FIELDS; ELECTROMAGNETIC WAVES; MAXWELL EQUATIONS; OPTICAL KERR EFFECT; ORDINARY DIFFERENTIAL EQUATIONS; OSCILLATORS (ELECTRONIC); POLARIZATION; PROBLEM SOLVING; VARIATIONAL TECHNIQUES; VECTORS;

EID: 1842418662     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2003.10.014     Document Type: Article
Times cited : (7)

References (26)
  • 1
    • 0002703644 scopus 로고    scopus 로고
    • Comparisons between Maxwell's equations and an extended nonlinear Schrödinger equation
    • Hile C.V., Comparisons between Maxwell's equations and an extended nonlinear Schrödinger equation. Wave Motion. 24:1996;1-12.
    • (1996) Wave Motion , vol.24 , pp. 1-12
    • Hile, C.V.1
  • 2
    • 18844483120 scopus 로고    scopus 로고
    • Solitary waves, steepening and initial collapse in the Maxwell-Lorentz system
    • M.P. Sørenson, M. Brio, G.M. Webb, J.V. Moloney, Solitary waves, steepening and initial collapse in the Maxwell-Lorentz system, Physica D 170 (2002) 287-303.
    • (2002) Physica D , vol.170 , pp. 287-303
    • Sørenson, M.P.1    Brio, M.2    Webb, G.M.3    Moloney, J.V.4
  • 3
    • 0000166062 scopus 로고    scopus 로고
    • Electromagnetic shocks on the optical cycle of ultrashort pulses in triple-resonance Lorentz dielectric media with subfemtosecond nonlinear electronic Debye relaxation
    • Gilles L., Moloney J.V., Vázquez L., Electromagnetic shocks on the optical cycle of ultrashort pulses in triple-resonance Lorentz dielectric media with subfemtosecond nonlinear electronic Debye relaxation. Phys. Rev. E. 60(1):1999;1051-1059.
    • (1999) Phys. Rev. E , vol.60 , Issue.1 , pp. 1051-1059
    • Gilles, L.1    Moloney, J.V.2    Vázquez, L.3
  • 4
    • 0010028894 scopus 로고    scopus 로고
    • Comparison between staggered and unstaggered finite-difference time-domain grids for few-cycle temporal optical soliton propagation
    • Gilles L., Hagness S.C., Vázquez L., Comparison between staggered and unstaggered finite-difference time-domain grids for few-cycle temporal optical soliton propagation. J. Comput. Phys. 161:2000;379-400.
    • (2000) J. Comput. Phys. , vol.161 , pp. 379-400
    • Gilles, L.1    Hagness, S.C.2    Vázquez, L.3
  • 14
    • 0041505781 scopus 로고
    • Energy-momentum tensors for dispersive electromagnetic waves
    • Dewar R.L., Energy-momentum tensors for dispersive electromagnetic waves. Aust. J. Phys. 30:1977;533-575.
    • (1977) Aust. J. Phys. , vol.30 , pp. 533-575
    • Dewar, R.L.1
  • 15
    • 0000478462 scopus 로고
    • The general similarity solution of the heat equation
    • Bluman G.W., Cole J.D., The general similarity solution of the heat equation. J. Math. Mech. 18:1969;1025-1042.
    • (1969) J. Math. Mech. , vol.18 , pp. 1025-1042
    • Bluman, G.W.1    Cole, J.D.2
  • 17
    • 0039560800 scopus 로고
    • An operator approach to Poisson brackets
    • Magri F., An operator approach to Poisson brackets. Ann. Phys. 99:1976;196-228.
    • (1976) Ann. Phys. , vol.99 , pp. 196-228
    • Magri, F.1
  • 18
    • 36749117832 scopus 로고
    • A simple model of the integrable Hamiltonian equation
    • F. Magri, A simple model of the integrable Hamiltonian equation, J. Math. Phys. 19 (1978) 1156-1162.
    • (1978) J. Math. Phys. , vol.19 , pp. 1156-1162
    • Magri, F.1
  • 21
    • 48749149748 scopus 로고
    • Coadjoint orbits, vortices and Clebsch variables for incompressible fluids
    • Marsden J.E., Weinstein A., Coadjoint orbits, vortices and Clebsch variables for incompressible fluids. Physica D. 7:1983;305-323.
    • (1983) Physica D , vol.7 , pp. 305-323
    • Marsden, J.E.1    Weinstein, A.2
  • 22
    • 0001984033 scopus 로고
    • Poisson brackets for fluids and plasmas
    • M. Tabor, Y. Treve (Eds.), Mathematical Methods in Hydrodynamics and Integrability in Related Dynamical Systems
    • P.J. Morrison, Poisson brackets for fluids and plasmas, in: M. Tabor, Y. Treve (Eds.), Mathematical Methods in Hydrodynamics and Integrability in Related Dynamical Systems, Proceedings of the Conference on AIP, vol. 88, 1982, pp. 13-26.
    • (1982) Proceedings of the Conference on AIP , vol.88 , pp. 13-26
    • Morrison, P.J.1
  • 23
    • 0032364496 scopus 로고    scopus 로고
    • Hamiltonian description of the ideal fluid
    • Morrison P.J., Hamiltonian description of the ideal fluid. Rev. Mod. Phys. 70:1998;467-521.
    • (1998) Rev. Mod. Phys. , vol.70 , pp. 467-521
    • Morrison, P.J.1
  • 24
    • 0040651088 scopus 로고
    • Geometric approach to invariance groups and solution of partial differential systems
    • Harrison B.K., Estabrook F.B., Geometric approach to invariance groups and solution of partial differential systems. J. Math. Phys. 12:1971;653-666.
    • (1971) J. Math. Phys. , vol.12 , pp. 653-666
    • Harrison, B.K.1    Estabrook, F.B.2
  • 25
    • 36749112598 scopus 로고
    • Prolongation structure of nonlinear evolution equations
    • Wahlquist H.D., Estabrook F.B., Prolongation structure of nonlinear evolution equations. J. Math. Phys. 16:1975;1-7.
    • (1975) J. Math. Phys. , vol.16 , pp. 1-7
    • Wahlquist, H.D.1    Estabrook, F.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.