[1] Freeman N C,Nimmo J J C. Soliton solutions of the KdV and KP equations: The Wronskian technique[J]. Physics Letters A, 1983, 95(1): 1-3. [2] Nimmo J J C, Freeman N C. A method of obtainning the soliton solution of the Boussinesq equation in terms of a Wronskain[J]. Physics Letters A, 1983, 95(1): 4-6. [3] Nimmo J J C. Soliton solutions of three differential-difference equations in Wronskian form[J].Physics Letters A, 1983, 99(6-7): 281-286. [4] Satsuma J. A Wronskian representation of n-soliton solutions of nonlinear evolution equations[J].Journal of the Physical Society of Japan, 1979, 46(1): 359-360. [5] Hirota R, Ito M, Kato F. Two-dimensional Toda lattice equations[J]. Progress of Theoretical Physics Supplement, 1988, 94(94): 42-58. [6] Hirota R, Ohta Y, Satsuma J. Solutions of the KP equation and the two dimensional Toda equations[J]. Journal of the Physical Society of Japan, 1988, 57(6): 1 901-1 904. [7] Zhang D J.Notes on solutions in Wronskian form to soliton equations: KdV-type[DB/OL]. arXiv: nlin/0603008. [8] Darboux G. Lecons Surla Théorie Générale des Surfaces, Volume Ⅱ[M]. 3rd edition. New York: Chelsea Publishing Company, 1972. [9] Nimmo J J C, Freeman N C. A bilinear Bcklund transformation for the nonlinear Schrdinger equation[J]. Physics Letters A, 1983, 99(6-7): 279-281. [10] Liu Q M. DoubleWronskian solutions of the AKNS and the classical Boussinesq hierarchies[J]. Journal of the Physical Society of Japan, 1990, 59(10): 3 520-3 527. [11] Chen D Y, Zhang D J, Bi J B. New double Wronskian solutions of the AKNS equation[J]. Science in China Series A: Mathematics, 2008, 51(1): 55-69. [12] Zhai W, Chen D Y. Rational solutions of the general nonlinear Schrdinger equation with derivative[J]. Physics Letters A, 2008, 372(23): 4 217-4 221. [13] Yao Y Q, Zhang D J, Chen D Y. The double Wronskian solutions to the Kadomtset-Petviashvili equation[J]. Modern Physics Letters B, 2008, 22(9): 621-641. [14] Chen S T, Zhang J B, Chen D Y. Generalized double Casoratian solutions to the four-potential isospectral Ablowitz-Ladik equation[J]. Communications in Nonlinear Science and Numerical Simulation, 2013, 18(11): 2 949-2 959. [15] Chen S T, Li Q. Double Casoratian solutions of a negative order isospectral four-potential Ablowitz-Ladik equation[J]. Journal of Jiangsu Normal University: Natural Science Edition, 2013, 31(4):11-17. [16] Zhang D J, Chen S T. Symmetries for the Ablowitz-Ladik hierarchy: Ⅰ. Four-potential case[J]. Studies in Applied Mathematics, 2010, 125(4): 393-418. [17] Ablowitz M J, Ladik J F. Nonlinear differential-difference equations[J]. Journal of Mathematical Physics, 1975, 16(3): 598-603. [18] Chen S T, Zhu X M, Li Q, Chen D Y. N-Soliton solutions for the four-potential isospectral Ablowitz-Ladik equation[J]. Chinese Physics Letters, 2011, 28(6): 060202. [19] Gegenhasi, Hu X B, Levi D. On a discrete Davey-Stewartson system[J]. Inverse Problems, 2006, 22(5): 1 677-1 688. [20] Wu H, Zhang D J.Mixed rational-soliton solutions of two differential-difference equations in Casorati determinant form[J]. Journal of Physics A: Mathematical and General, 2003, 36(17): 4 867-4 873. [21] Chen Y. Rational-like solutions for a negative order isospectral four-potential Ablowitz-Ladik equation[J]. Journal of Jiangsu Normal University (Natural Science Edition), 2014, 32(4): 36-39.
(上接第993页)
[6] Agarwal A K. An analogue of Eulers identity and new combinatorial properties of n-colour compositions[J]. J Comput Appl Math, 2003, 160(1-2): 9-15. [7] Narang G, Agarwal A K. Lattice paths and n-colour compositions[J]. Discrete Math, 2008, 308(9): 1 732-1 740. [8] Guo Y H. Some n-color compositions[J]. Journal of Integer Sequence, 2012, 15: Article 12.1.2. [9] Narang G, Agarwal A K. n-Colour self-inverse compositions[J]. Proc Indian Acad Sci Math Sci, 2006, 116(3): 257-266. [10] Guo Y H. n-Colour even compositions[J]. Ars Combina, 2013, 109(2): 425-432. [11] Guo Y H. n-Colour even self-inverse compositions[J]. Proc Indian Acad Sci Math Sci, 2010, 120(1):27-33. [12] Shapcott C. C-color compositions and palindromes[J]. Fibonacci Quart, 2012, 50(4): 297-303. [13] Hoggatt V E, Bicknell M. Palindromic composition[J]. Fibonacci Quart, 1975, 13(4): 350-356. [14] MacMahon P A. Combinatory Analysis, Vol. Ⅰ and Ⅱ[M]. New York: AMS Chelsea Publishing, 2001. |