메뉴 건너뛰기




Volumn 147, Issue 3-4, 2000, Pages 259-272

Symmetries, periodic plane waves and blow-up of λ - ω systems

Author keywords

Blow up solutions; Nonclassical symmetries; Periodic plane waves; systems

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL METHODS;

EID: 0034541090     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(00)00161-5     Document Type: Article
Times cited : (9)

References (23)
  • 1
    • 0031556904 scopus 로고    scopus 로고
    • Lie symmetries and multiple solutions in λ - ω reaction-diffusion systems
    • Archilla J.F.R., Romero J.L., Romero F., Palmero F. Lie symmetries and multiple solutions in. λ - ω reaction-diffusion systems J. Phys. A. 30:1997;185.
    • (1997) J. Phys. a , vol.30 , pp. 185
    • Archilla, J.F.R.1    Romero, J.L.2    Romero, F.3    Palmero, F.4
  • 2
    • 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(11):1969;1025-1042.
    • (1969) J. Math. Mech. , vol.18 , Issue.11 , pp. 1025-1042
    • Bluman, G.W.1    Cole, J.D.2
  • 8
    • 0000883706 scopus 로고
    • Spiral waves for λ - ω systems II
    • Greenberg J.M. Spiral waves for. λ - ω systems II Adv. Appl. Math. 2:1981;450.
    • (1981) Adv. Appl. Math. , vol.2 , pp. 450
    • Greenberg, J.M.1
  • 9
    • 0001645343 scopus 로고
    • Spiral waves in reaction-diffusion equations
    • Hagan P.S. Spiral waves in reaction-diffusion equations. SIAM J. Appl. Math. 42:1982;762.
    • (1982) SIAM J. Appl. Math. , vol.42 , pp. 762
    • Hagan, P.S.1
  • 10
    • 0038090710 scopus 로고
    • Rotating spiral waves in reaction-diffusion systems. Phase singularities of multiarmed waves
    • Koga S. Rotating spiral waves in reaction-diffusion systems. Phase singularities of multiarmed waves. Prog. Theoret. Phys. 67:1982;164-178.
    • (1982) Prog. Theoret. Phys. , vol.67 , pp. 164-178
    • Koga, S.1
  • 11
    • 0000588222 scopus 로고
    • Plane wave solutions to reaction-diffusion equations
    • Kopell N., Howard L.N. Plane wave solutions to reaction-diffusion equations. Stud. Appl. Math. 52:1973;291.
    • (1973) Stud. Appl. Math. , vol.52 , pp. 291
    • Kopell, N.1    Howard, L.N.2
  • 12
    • 0001351102 scopus 로고
    • Turbulized rotating chemical waves
    • Kuramoto K., Koga S. Turbulized rotating chemical waves. Prog. Theoret. Phys. 66:1981;1081.
    • (1981) Prog. Theoret. Phys. , vol.66 , pp. 1081
    • Kuramoto, K.1    Koga, S.2
  • 15
    • 46149142625 scopus 로고
    • The construction of special solutions to partial differential equations
    • Olver P.J., Rosenau P. The construction of special solutions to partial differential equations. Phys. Lett. A. 114:1986;107.
    • (1986) Phys. Lett. a , vol.114 , pp. 107
    • Olver, P.J.1    Rosenau, P.2
  • 16
    • 0023327684 scopus 로고
    • Group invariant solutions of differential equations
    • Olver P.J., Rosenau P. Group invariant solutions of differential equations. SIAM J. Appl. Math. 47:1987;263.
    • (1987) SIAM J. Appl. Math. , vol.47 , pp. 263
    • Olver, P.J.1    Rosenau, P.2
  • 18
    • 0039588720 scopus 로고
    • The amplitude of periodic plane waves depends on initial conditions in a variety of λ - ω systems
    • Sherratt J.A. The amplitude of periodic plane waves depends on initial conditions in a variety of. λ - ω systems Nonlinearity. 6:1993;1055.
    • (1993) Nonlinearity , vol.6 , pp. 1055
    • Sherratt, J.A.1
  • 19
    • 0028518381 scopus 로고
    • On the evolution of periodic plane waves in reaction-diffusion systems of λ - ω type
    • Sherratt J.A. On the evolution of periodic plane waves in reaction-diffusion systems of. λ - ω type SIAM J. Appl. Math. 54:1994;1374.
    • (1994) SIAM J. Appl. Math. , vol.54 , pp. 1374
    • Sherratt, J.A.1
  • 20
    • 0028195731 scopus 로고
    • On the speed of amplitude transition waves in reaction-diffusion systems of λ - ω type
    • Sherratt J.A. On the speed of amplitude transition waves in reaction-diffusion systems of. λ - ω type IMA J. Appl. Math. 52:1994;79.
    • (1994) IMA J. Appl. Math. , vol.52 , pp. 79
    • Sherratt, J.A.1
  • 21
    • 0040651291 scopus 로고
    • Symmetries of nonlinear reaction-diffusion equations and their solutions
    • W.H. Steeb, W. Strampp, Symmetries of nonlinear reaction-diffusion equations and their solutions, Physica D 3 (1981) 637.
    • (1981) Physica D , vol.3 , pp. 637
    • Steeb, W.H.1    Strampp, W.2
  • 22
    • 0039585085 scopus 로고
    • Isovectors and similarity solutions for nonlinear reaction-diffusion equations
    • Suhubi E.S., Chowdhury K.L. Isovectors and similarity solutions for nonlinear reaction-diffusion equations. Int. J. Eng. Sci. 26:1988;1027.
    • (1988) Int. J. Eng. Sci. , vol.26 , pp. 1027
    • Suhubi, E.S.1    Chowdhury, K.L.2
  • 23
    • 44049115047 scopus 로고
    • Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
    • W. van Saarloos, P.C. Hohenberg, Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations, Physica D 56 (1992) 303.
    • (1992) Physica D , vol.56 , pp. 303
    • Van Saarloos, W.1    Hohenberg, P.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.