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Generalized Cauchy Matrix Approach for Lattice Boussinesq-Type Equations 被引量：3

Generalized Cauchy Matrix Approach for Lattice Boussinesq-Type Equations
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摘要 The authors generalize the Cauchy matrix approach to get exact solutions to the lattice Boussinesq-type equations:lattice Boussinesq equation,lattice modified Boussinesq equation and lattice Schwarzian Boussinesq equation.Some kinds of solutions including soliton solutions,Jordan block solutions and mixed solutions are obtained.
作者 Songlin ZHAO Dajun ZHANG Ying SHI
机构地区 Department of Mathematics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2012年第2期259-270,共12页 数学年刊（B辑英文版）
基金 Project supported by the National Natural Science Foundation of China (No.11071157) the Shanghai Leading Academic Discipline Project (No.J50101) the Postgraduate Innovation Foundation of Shanghai University (No.SHUCX111027)
关键词 Lattice Boussinesq-type equations Generalized Cauchy matrixapproach Exact solutions Boussinesq型方程 Cauchy 矩阵方法 Boussinesq方程 Schwarz 广义 晶格 精确解
分类号 O353.2 [理学—流体力学] O177 [理学—基础数学]
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参考文献29

  • 1Ablowitz, M. J. and Ladik, F. J., A nonlinear difference scheme and inverse scattering, Stud. Appl. Math., 55, 1976, 213-229.
  • 2Ablowitz, M. J. and Ladik, F. J., On the solution of a class of nonlinear partial difference equations, Stud. Appl. Math., 57, 1977, 1-12.
  • 3Hirota, R., Nonlinear partial difference equations I, J. Phys. Soc. Japan, 43, 1977, 1424-1433.
  • 4Hirota, R., Nonlinear partial difference equations II, J. Phys. Soc. Japan, 43, 1977, 2074-2078.
  • 5Hirota, R., Nonlinear partial difference equations III, J. Phys. Soc. Japan, 43, 1977, 2079-2086.
  • 6Hirota, R., Nonlinear partial difference equations. IV, J. Phys. Soc. Japan, 45, 1978,321-332.
  • 7Hirota, R., Nonlinear partial difference equations. V, J. Phys. Soc. Japan, 46, 1979, 312-319.
  • 8Nijhoff, F. W., Quispel, G. R. W. and Capel, H. W., Direct linearization of nonlinear difference-difference equations, Phys. Lett. A, 97, 1983, 125-128.
  • 9Quispel, G. R. W., Nijhoff, F. W., Capel, H. W. and van der Linden, J., Linear integral equations and nonlinear difference-difference equations, Physica A, 125, 1984, 344-380.
  • 10Nijhoff, F. W., Papageorgiou, V. G., Capel, H. W. and Quispel G. R. W., The lattice Gelfand-Dikii hierarchy, Inverse Problem, 8, 1992, 597-62l.

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  • 3Johann Steurer. The Delphi method: an efficient procedure to generate knowledge [J]. Skeletal Radiol, 2011, 40 (8): 959 - 961.
  • 4He Ying, Tao Qiu - Gong, Yang Yan- Fang. The rotating Morse potential energy eigenvalues solved by using the analytical transfer matrix method [J]. Chin Phys B, 2012, 21 (10) : 100303 - 100306.
  • 5李海燕.医学科技人才评价指标体系及综合评价方法研究[D].广州:南方医科大学,2007.
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引证文献3

二级引证文献11

Chinese Annals of Mathematics,Series B
2012年 第2期

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