New similarity solutions for the modified Boussinesq equation
作者： P A Clarkson
DOI: 10.1088/0305-4470/22/13/029
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摘要: … equation, which is a completely integrable soliton equation. These new similarity solutions include reductions … properties including elastically interacting soliton solutions, the existence …
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Pavel Winternitz, LIE GROUPS AND SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS Lectures given at. ,vol. 189, pp. 263- 305 ,(1983) , 10.1007/3-540-12730-5_12
George W. Bluman, Julian D. Cole, Similarity methods for differential equations ,(1974)
Peter J. Olver, Applications of Lie Groups to Differential Equations ,(1986)
F. Schwarz, Automatically determining symmetries of partial differential equations Computing. ,vol. 34, pp. 91- 106 ,(1985) , 10.1007/BF02259838
Fritz Schwarz, Symmetries of Differential Equations: From Sophus Lie to Computer Algebra SIAM Review. ,vol. 30, pp. 450- 481 ,(1988) , 10.1137/1030094
P. Rosenau, J.L. Schwarzmeier, On similarity solutions of Boussinesq-type equations Physics Letters A. ,vol. 115, pp. 75- 77 ,(1986) , 10.1016/0375-9601(86)90026-5
P.J. Caudrey, The inverse problem for a general N × N spectral equation Physica D: Nonlinear Phenomena. ,vol. 6, pp. 51- 66 ,(1982) , 10.1016/0167-2789(82)90004-5
Mark J. Ablowitz, Richard Haberman, Resonantly coupled nonlinear evolution equations Journal of Mathematical Physics. ,vol. 16, pp. 2301- 2305 ,(1975) , 10.1063/1.522460
George W. Bluman, Gregory J. Reid, Sukeyuki Kumei, New classes of symmetries for partial differential equations Journal of Mathematical Physics. ,vol. 29, pp. 806- 811 ,(1988) , 10.1063/1.527974
R. Hirota, J. Satsuma, Nonlinear Evolution Equations Generated from the Bäcklund Transformation for the Boussinesq Equation Progress of Theoretical Physics. ,vol. 57, pp. 797- 807 ,(1977) , 10.1143/PTP.57.797