Solitons and the regularized long wave equation: A nonexistence theorem

Chaos, Solitons and Fractals

Volumn 7, Issue 11, 1996, Pages 1881-1886

  Bryan, A C ^a   Stuart, A E G ^a  

^a CITY UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042592815     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(96)00034-3     Document Type: Article

References (7)

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2. J. L. Bona, W. G. Pritchard and L. R. Scott, A comparison of solutions of two model equations for long waves, Lect. Appl. Math. 20, 235-267 (1983).
3. J. L. Bona, W. G. Pritchard and L. R. Scott, Solitary-wave interaction, Phys. Fluids 23, 438-441 (1980).
4. M. Lakshmanan and P. Kaliappan, Lie transformations, nonlinear evolution equations and Painlevé forms, J. Math. Phys. 24, 795-806 (1983).
5. P. J. Olver, Euler operators and conservation laws of the BBM equation, Math. Proc. Camb. Phil. Soc. 85, 143-160 (1979).
6. A. C. Bryan and A. E. G. Stuart, Representations of the multisoliton solutions of the Korteweg-de Vries equation, Nonlinear Analysis: Theory, Methods & Applications 22, 561-566 (1994).
7. C. V. Easwaran and S. R. Majumbar, The evolution of perturbations of the renormalized long wave equation, J. Math. Phys. 29, 390-392 (1988).