| [1] Kuramoto Y. Chemical Oscillations, Waves and Turbulence [M]. Berlin: Springer-Verlag,1984.
[2] Kuramoto Y. Diffusion-induced chaos in reaction-diffusion systems [J]. Prog Theor Phys Suppl,1978,64 (suppl): 346-350.
[3] Burgers J M. A mathematical model illustrating the theory of turbulence [J]. Adv Appl Mech,1949,1(2):171-175.
[4] LIU Shi-da, LIU Shi-kuo. KdV-Burgers modeling of turbulence [J]. Science in China A, 1992,35(5):576-577.
[5] Kawahara T. Formulation of saturated solutions in a nonlinear dispersive system with instability and dissipation [J]. Phys Rev Lett, 1983,51(5):381-387.
[6] Kwok W, Chow. A class of exact, periodic solutions of nonlinear envelope equations [J]. J Math Phys, 1995,36(8):4125-4137.
[7] Kudryashov N A. Exact solutions of the generalized Kuramoto-Sivashinsky equation [J]. Phys,Lett A, 1990,147 (5,6): 287-291.
[8] WANG Ming-liang, ZHOU Yu-bin, LI Zhi-bin. Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics [J]. Phys Lett A, 1996,216(1):67- 75.
[9] KONG De-xing, HU Hai-rong. Geometric approach for finding exact solutions to nonlinear partial differential equations [J]. Phys Lett A, 1998,246(1,2):105-112.
[10] XIONG Sbu-lin. A kind of analytical solutions of Burgers-KdV equation [J]. Kexue Tongbao(Chinese Science Bulletin), 1989,34(1):26-29. (in Chinese)
[11] LIU Shi-da, LIU Shi-kuo. Heteroclinic orbit on the KdV-Burgers equation and Fisher equation [J].Commun Theor Phys, 1991,16(4):497-500.
[12] LIU Shi-da, LIU Shi-kuo. The traveling wave solutions of KdV-Burgers-Kuramoto equation [J].Progress in Natural Science, 1999,9(10):912-918. (in Chinese)
[13] Benney D J. Long nonlinear waves in fluid flow [J]. J Math and Phys, 1966,45(1):52-60. |
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