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Solutions of coupled KdV-type equations. (English) Zbl 0711.35122
Summary: We consider a family of coupled Korteweg-de Vries equations (Itô type) in 1+1 dimensions and use Hlavatý’s technique to obtain a class of explicit wave-type solutions.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
35L05Wave equation (hyperbolic PDE)
References:
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[3]Guha-Roy, C., Bagchi, B., and Sinha, D. K. (1986).Journal of Mathematical Physics,27, 2558. · Zbl 0614.35080 · doi:10.1063/1.527324
[4]Hirota, R., and Satsuma, J. (1981).Physics Letters A,85, 407. · doi:10.1016/0375-9601(81)90423-0
[5]Hlavat?, L. (1985).Journal of Physics A,18, 1933. · Zbl 0582.35106 · doi:10.1088/0305-4470/18/11/017
[6]Ito, M. (1982).Physics Letters A,91, 335. · doi:10.1016/0375-9601(82)90426-1
[7]Takahashi, D., and Satsuma, J. (1988).Journal of the Physical Society of Japan,57, 417. · doi:10.1143/JPSJ.57.417
[8]Wadati, M. (1975).Journal of the Physical Society of Japan,38, 673. · doi:10.1143/JPSJ.38.673
[9]Whitham, G. B. (1974).Linear and Nonlinear Waves, Wiley, New York.