MORRIS C. Time-dependent propagation of high energy laser beams through the atmosphere[J]. Math Phys, 1978(4): 76-85.HIROTA R, OHTA Y. New type of soliton equations[J]. Phys Soc Japan, 2007, 76(2): 24-35.DODD R K, FORDY A P. The prolongation structures of quasi-polynomial flows [J]. R Proc Soc Lond A, 1983, 12: 385-389.TSUCHIDA T, WOLF T. Classification of polynomial integrable systems of mixed scalar and vector evolution equations I[J]. J Phys A: Math Gen, 2005, 38: 7691-7733.CHOWDHURY A, ROY T. Prolongation structure and inverse scattering formalism for super symmetric Sine- Gordon equation in ordinary space time variable[J]. Math Phys, 1979, 20: 45-59.GARDMER C S, MORIKAWA G K. Similarity in the asymptotic behavior of collision-free hydro magnetic waves and water waves[R]. Courant Inst Math Sci Res, Rep, 1960 13: 82-90.加羊杰. 耦合 KdV 方程的延拓结构 [J]. 纯粹数学与应用数学, 2010, 26(4): 600-607.ALFINITO E, GRASSI V, LEO R A, et al, Equations of the reaction-diffusion type wth a loop algebra structure[J]. Inverse Problems, 1998, 14(6): 1387-1401.WAHLQUIST H D, ESTABROOK F B. Prolongation structures of nonlinear evolution equations[J]. J Math Phys, 1975, 16: 1-7.CHOWDHURY S, KEBARLE P. Electron affinities of di- and tetracyanoethylene and cyanobenzenes based on measurements of gas-phase electron-transfer equilibria[J]. J AM Chem SOC, 1986, 108: 5453-5459.CHOWDHURY A, PAUL S. Prolongation structure of a new integrable system [J]. Inter J Theor Phys, 1985, 24(6): 633-637.KALKANLI A. Prolongation structure and Painlevé property of the Gürses-Nutku equations[J]. Inter Theor Phys, 1987, 26: 1085-1092.FINLEY J D. The Robinson-Trautman type 0 prolongation structure contains K2 [J]. Commun Math Phys, 1996, 178(2): 375-390.ZHAO W Z, BAI Y Q, WU K. Generalized inhomogeneous Heisenberg ferromagnet model and generalized nonlinear Schredinger equation[J]. Phys Lett A, 2006, 3(3): 52-64.DAS C, CHOWDHURY A. On the prolongation structure and integrability of HNLS equation[J]. Chaos, Solitons Fractals, 2001, 12: 2081-2090.ALFINITO E, GRASSI V, LEO R A. Equations of the reaction-diffusion type with a loop algebra structure[J]. Inverse Problems, 1998, 14: 1387-1393.ITO M. Symmetries and conservation laws of a coupled nonlinear wave equation[J]. Phys Lett A, 1982, 91: 335-343.GENG X G, WU Y T. From the special 2+1 Toda lattice to the Kadomtsev-Petviashvili equation[J]. Math Phys, 1997, 38: 3069-3077.YOHTA O R, HIROTA R. Nonlinear partial difference equation: II Discrete-time Toda equation[ J]. Phys Soc Japan, 1977, 43: 2074-2078.加羊杰. 耦合 KdV 方程的延拓结构[D]. 北京: 首都师范大学硕士论文, 2009.加羊杰. 一个耦合非线性发展方程的延拓结构 [J]. 华东师范大学学报: 自然科学版, 2012(1): 100-105.HIROTA R, OHTA Y, Hierarchies of coupled soliton equations: I[J]. J Phys Soc Japan, 1991, 60: 798-809.LI X X, HUANG G Y, XU J L. Some inequalities for submanifolds in locally conformal almost cosymplectic manifolds [J]. Soochow Journal of Mathematics, 2005, 31(3): 309.ZGUR C, MIHAI A. Chen inequalities for submanifolds of real space forms with a semi-symmetric non-metric connection [J]. Canadian Mathematical Bulletin, 2012, 55(3): 611-622.YANO K. On semi-symmetric metric connection [J]. Rev Roum Math Pures Appl, 1970, 15: 1579-1586.AGASHE N S, CHAFLE M R. A semi-symmetric non-metric connection on a Riemannian manifold [J]. India J Pure Appl Math, 1992, 23(6): 399-409.AGASHE N S, CHAFLE M R. On submanifolds of a Riemannian manifold with a semi-symmetric non-metric connection [J]. Tensor, 1994, 55(2): 120-130.CHEN B Y. Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions [J]. Glasgow Math J, 1999, 41: 31-41.LIU X M. On Ricci curvature of C-totally real submanifolds in Sasakian space forms [J]. Proceedings of the Indian Academy of Sciences-Mathematical Sciences, 2001, 111(4): 761-770.MIHAI I. Ricci curvature of submanifolds in Sasakian space forms [J]. J Aust Math Soc, 2002, 72: 247-256.TRIPATHI M M. Improved Chen-Ricci inequality for curvature-like tensors and its applications [J]. Differential Geometry and Its Applications, 2011, 29: 685-698. |