[1] Fermi E, Pasta J, Ulam S. Studies of Nonlinear Problems[M]. In: Newell Ed. Lectures in Appl Math, 15, Providence: American Math Society, 1974,143-196.
[2] Newell A C. Solitons in Mathematics and Physics[M]. Philadelphia: SIAM, 1985.
[3] Kruskal M D, Zabusky N J. Progress on the FPU nonlinear string problem[A]. In: Kruskal M D Ed. Princeton Plasma Physics Laboratory Annual Rept [C]. MATT-Q-21, Princeton: NJ, 1963,61-83.
[4] Ovler P J. Applications of Lie Group to Differential Equations[M]. Berlin: Springer-Verlag, 1989.
[5] Blumann G W, Cole J D. Nonclassical symmetries of partial differential equations[J]. J Math Mech, 1969,10(5): 1025-1032.
[6] Clarkson P A, Kruskal M D. New similarity reductions of the Boussinesq equation[J]. J Math Phys, 1989,30(3):2201-2213.
[7] Lou S Y. Nonclassical symmetry reductions for the dispersive wave equations in shallow water[J].J Math Phys, 1992,33(10):4300-4305.
[8] YAN Zheng-ya, ZHANG Hong-qing. Symmetry reductions for the generalized KP equation [J].Applied Mathematics and Mechanics (English Edition), 2002,21 (6): 645-650.
[9] Ablowitz M J, Ramani A, Segur H. A connection between nonlinear evolution equations and ordinary differential equations of P-type Ⅰ [J]. J Math Phys,1980,21(4):715-725.
[10] Ablowitz M J, Clarkson P A. Soliton Nonlinear Evolution Equations and Inverse Scattering[M].Cambridge: Cambridge University Press, 1991.
[11] Eilenberger G. Solitons-Mathematical Methods for Physics [M]. New York: Springer-Verlag,1981. |
Email Alert
RSS