The Camassa–Holm equation for water waves moving over a shear flow
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[1] Valentina Busuioc,et al. On second grade fluids with vanishing viscosity , 1999 .
[2] J. C. Burns. Long waves in running water , 1953, Mathematical Proceedings of the Cambridge Philosophical Society.
[3] Darryl D. Holm,et al. An integrable shallow water equation with linear and nonlinear dispersion. , 2001, Physical review letters.
[4] Darryl D. Holm,et al. A New Integrable Shallow Water Equation , 1994 .
[5] Gerard Misio łek. A shallow water equation as a geodesic flow on the Bott-Virasoro group , 1998 .
[6] R. Johnson. On solutions of the burns condition (which determines the speed of propagation of linear long waves on a shear flow with or without a critical layer) , 1991 .
[7] A. Constantin. On the scattering problem for the Camassa-Holm equation , 2001, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[8] C. Yih. Surface waves in flowing water , 1972, Journal of Fluid Mechanics.
[9] A. Fokas. On a class of physically important integrable equations , 1994 .
[10] P. D. Thompson. THE PROPAGATION OF SMALL SURFACE DISTURBANCES THROUGH ROTATIONAL FLOW , 1949 .
[11] R. S. Johnson,et al. A Modern Introduction to the Mathematical Theory of Water Waves: Bibliography , 1997 .
[12] R. Johnson,et al. The Classical Problem of Water Waves: a Reservoir of Integrable and Nearly-Integrable Equations , 2003 .
[13] D. H. Sattinger,et al. Acoustic Scattering and the Extended Korteweg– de Vries Hierarchy , 1998, solv-int/9901007.
[14] Shallow water waves on shear flows , 1970 .
[15] P. Drazin,et al. Solitons: An Introduction , 1989 .
[16] T. Benjamin. The solitary wave on a stream with an arbitrary distribution of vorticity , 1962, Journal of Fluid Mechanics.
[17] Y. Kodama. On integrable systems with higher order corrections , 1985 .
[18] Darryl D. Holm,et al. An integrable shallow water equation with peaked solitons. , 1993, Physical review letters.
[19] Adrian Constantin,et al. Stability of the Camassa-Holm solitons , 2002, J. Nonlinear Sci..
[20] H. Dai. Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod , 1998 .
[21] R. Johnson,et al. Camassa–Holm, Korteweg–de Vries and related models for water waves , 2002, Journal of Fluid Mechanics.
[22] Athanassios S. Fokas,et al. Symplectic structures, their B?acklund transformation and hereditary symmetries , 1981 .
[23] R. Johnson,et al. On solutions of the Camassa-Holm equation , 2003, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.