JIA Yang-jie. Prolongation structure of the coupled nonlinear evolution equation[J]. Journal of East China Normal University(Natural Sc, 2012, 2012(1): 100-105.
{1} TSUCHIDA T, WOLF T. Classificationof polynomial integrable systems of mixed scalar and vectorevolution equations I[J]. J Phys A: Math Gen, 2005, 38: 7691-7733.{2} HIROTA R, OHTA Y. New type of solitonequations[J]. Phys Soc Japan, 2007, 76(2): 24-35.{3} MORRIS \H{C}. Time-dependent propagation ofhigh energy laser beams through the atmosphere[J]. Math Phys,1978(4): 76-85.{4} CHOWDHURY A, ROY T. Prolongation structureand inverse scattering formalism for super symmetric Sine-Gordonequation in ordinary space time variable[J]. Math Phys, 1979, 20:45-59.{5} DODD R K, FORDY A P. The prolongation structuresof quasi-polynomial flows[J]. R Proc Soc Lond A, 1983, 12: 385-389.{6} GARDMER C S, MORIKAWA G K. Similarity in theasymptotic behavior of collision-free hydromagnetic waves and waterwaves[R]. Courant Inst Math Sci Res, Rep, 1960 13: 82-90.{7} Wahlquist H D, ESTABROOK F B. Prolongationstructures of nonlinear evolution equations[J] J Math Phys, 1975,16: 1-7.{8} ALFINITO E, GRASSI V, LEO R A, et al.,Equations of the reaction-diffusion type wth a loop algebrastructure[J]. Inverse Problems, 1998, 14(6): 1387-1401.{9} CHOWDHURY A, KEBARLE P. Electron affinities ofdi- and tetracyanoethylene and cyanobenzenes based on measurementsof gas-phase electron-transfer equilibria[J]. JAM Chem SOC, 1986,108: 5453.{10} KALKANLI A. Prolongation structure and Painlev\'{e}property of the G\"{u}rses-Nutku equations[J]. Inter Theor Phys,1987, 26: 1085-1092.{11} FINLEY J D. The Robinson-Trautman typeⅢ~prolongation structure contains $K_2$[J]. Commun Math Phys, 1996,178(2): 375-390.{12} ZHAO W Z, BAI Y Q, WU K. Generalizedinhomogeneous Heisenberg ferromagnet model and generalized nonlinearSchredinger equation[J]. Phys Lett A, 2006, 3(3): 52-64.{13} DAS C, CHOWDHURY A. On the prolongationstructure and integrability of HNLS equation[J]. Chaos, Solitons \&Fractals, 2001, 12: 2081-2090.{14} ALFINITO E, GRASSI V, LEO R A. Equations of thereaction-diffusion type with a loop algebra structure[J]. InverseProblems, 1998, 14: 1387-1393.{15} ITO M. Symmetries and conservation laws of acoupled nonlinear wave equation[J]. Phys Let A, 1982, 91: 335-343.{16} GENG X G, WU Y T. From the special 2+1 Todalattice to the Kadomtsev-Petviashvili equation[J]. Math Phys, 1997,38: 3069-3077.{17} HIROTA R, OHTA Y, Hierarchies of coupled solitonequations: I[J]. J Phys Soc Japan, 1991, 60: 798-809.{18} 加羊杰. 耦合KdV方程的延拓结构[D]. 北京: 首都师范大学, 2009.
中国综合性科技类核心期刊(北大核心)