Abstract
The problem of the evolution of instability waves in fluid systems has received considerable attention in recent years. One typical governing equation of such a problem is the nonlinear Schrödinger equation with complex coefficients (envelope equation) and its properties have been investigated from various aspects[1–6].
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References
P. G. Drazin and W. H. Reid: Hydrodynamic stability(Cambridge Univ. Press, Cambridge, 1981 )
A. C. Newell and J. A. Whitehead: J. Fluid Mech. 38, 279 (1969)
J. T. Stuart and R. C. DiPrima: Proc. Roy. Soc. Lond A362, 27 (1978)
M. I. Rabinovich and A. L. Fabrikant: Sov. Phys. JETP. 50, 311 (1979)
K. Nozaki and N. Bekki: Phys. Rev. Lett. 51, 2171 (1983)
H. T. Moon, P. Huerre, and L. G. Redekopp: Phys. Rev. Lett. 12, 458 (1982), Physica 11, 135 (1983)
B. I. Cohen, J. A. Krommes, W. M. Tang, and M. N. Rosenbluth: Nucl. Fusion 1, 971 (1976)
G. I. Sivashinsky: Physica 4p, 227(1982), Annu. Rev. Fluid Mech. 15, 179 (1983)
J. Topper and T. Kawahara: J. Phys. Soc. Jpn. 44, 663 (1978)
Y. Kuramoto and T. Tsuzuki: Prog. Theor. Phys. 11, 356 (1976)
T. Yamada and Y. Kuramoto: Prog. Theor. Phys. 56, 681 (1976)
N. Zabusky and M. D. Kruskal: Phys. Rev. Lett. 1. , 240(1965)
T. Kawahara: Phys. Rev. Lett. 51, 381 (1983)
T. Kawahara and S. Toh: Submitted to Phys. Rev. Lett.
S. Toh and T. Kawahara: In preparation
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© 1985 Springer-Verlag Berlin Heidelberg
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Kawahara, T., Toh, S. (1985). Equilibrium Solutions in a Nonlinear Dispersive System with Instability and Damping. In: Takeno, S. (eds) Dynamical Problems in Soliton Systems. Springer Series in Synergetics, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02449-2_22
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DOI: https://doi.org/10.1007/978-3-662-02449-2_22
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