[1] Tao T. Multilinear weighted convolution of L2 functions and applications to nonlinear dispersive equations. Amer J Math, 2001, 123(5): 839–908

[2] Guo Z. Local well-posedness for dispersion generalized Benjamin-Ono equations in Sobolev spaces. J Differential Equations, 2012, 252(3): 2053–2084

[3] Zakharov V. On stochastization of one-dimensional chains of nonlinear oscillators. Sov Phys JETP, 1974, 38(1): 108–110

[4] Falk F, Laedke E, Spatschek K. Stability of solitary-wave pulses in shape-memory alloys. Phys Rev B, 1987, 36(6): 3031–3041

[5] Esfahani A, Farah L G. Local well-posedness for the sixth-order Boussinesq equation. J Math Anal Appl, 2012, 385(1): 230–242

[6] Chen W, Xiao J. A sharp bilinear estimate for the Bourgain-Type space with application to the Benjamin Equation. Comm Partial Differential equations, 2010, 35(10): 1739–1762

[7] Chen W, Guo Z, Xiao J. Sharp well-posedness of the Benjamin equation. Nonlinear Anal TMA, 2011, 74(17): 6209–6230

[8] Farah L G. Local solutions in Sobolev spaces with negative indices for the good Boussinesq equation. Comm Partial Differential Equations, 2009, 34(1): 52–73

[9] Farah L G. Global rough solutions to the cubic nonlinear Boussinesq equation. Journal of London Mathematical
Society, 2010, 81(1): 241–254

[10] Jones K L, He X, Chen Y. Existence of periodic traveling wave solution to the forced generalized nearly concentric Korteweg-de Vries equation. Internat J Math and Math Sci, 2000, 24(6): 371–377

[11] Kenig C, Ponce G, Vega L. A bilinear estimate with applications to the KdV equation. J Amer Math Soc, 1996, 9(2): 573–603

[12] Kenig C, Ponce G, Vega L. High-order nonlinear dispersive equation. Proc Amer Math Soc, 1994, 122: 157–166

[13] Chen W, Li J, Miao C, Wu J. Low regularity solutions of two fifth-order KdV type equations. J D’Anal Math, 2009, 107(1): 221–238

[14] Bourgain J. Fourier transform restriction phonomena for certain lattice subsets and applications to nonlinear
evolution equation I: Schr¨odinger equations. Geom Funct Anal, 1993, 3(2): 107–156

[15] Bourgain J. Fourier transform restriction phonomena for certain lattice subsets and applications to nonlinear
evolution equation II: the KdV-equations. Geom Funct Anal, 1993, 3(3): 209–262

[16] Chen W, Liu Z. Well-posedness and ill-posedness for a fifth-order shallow water wave equation. Nonlinear Anal TMA, 2010, 72(5): 2412–2420

[17] Wang Y,Wang S,Wang Y. Regularity criteria for weak solution to the 3D magnetohydrodynamic equation. Acta Math Sci, 2012, 32B(3): 1063–1072

[18] Guo H, Chen G. A note on “the Cauchy problem for coupled IMBq equations”. Acta Math Sci, 2013, 33B(2): 375–392