[1]
|
T. B. Benjamin, J.L. Bona and J.J. Mahony, Model equations for long waves in nonlinear dispersive systems, Phil. Trans. R. Soc. A 272, (1972), 47-78.
|
[2]
|
J. L. Bona and R. L. Sachs, Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation, Commun. Math. Phys., 118(1) (1988), 15-29.
|
[3]
|
J. L. Bona, W. R. McKinney and J. M. Restrepo, Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation, J. Nonlinear Sci., 10(6) (2000), 603-638.
|
[4]
|
J. L. Bona and A. Soyeur, On the stability of solitary-wave solutions of model equations for long waves, J. Nonlinear Sci., 4(1) (1994), 449-470.
|
[5]
|
J. V. Boussinesq, Théorie de l'intumescence liquide appelée onde solitaire ou de translation, se propageant dans un canal rectangulaire, Comp. Rend. Hebd. des Seances de l'Acad. des Sci., 72 (1871), 755-759.
|
[6]
|
J. V. Boussinesq, Théorie générale des mouvements qui sont propagés dans un canal rectangulaire horizontal, Comp. Rend. Hebd. des Seances de l'Acad. des Sci., 73 (1871), 256-260.
|
[7]
|
J. V. Boussinesq, Théorie des ondes et des remous qui se propagent le long d'un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond, Journal de Mathématiques Pures et Appliquées, 17 (1872), 55-108.
|
[8]
|
C.I. Christov, Flows with coherent structures: application of random point functions and stochastic functional series, in "Continuum Models and Discrete Systems'', (ed. G. A. Maugin), Longman, (1990), vol. 1, 232-253.
|
[9]
|
C. I. Christov, "Gaussian elimination with pivoting for multidiagonal systems'', Internal Report 4. University of Reading, 1994.
|
[10]
|
C. I. Christov, and M. G. Velarde, Inelastic interaction of Boussinesq solitons, Int. J. Bifurcation and Chaos, 4(5) (1994), 1095-1112.
|
[11]
|
C. I. Christov, Conservative difference scheme for Boussinesq model of surfacewaves, in "Proc. ICFD V'' (eds. W.K. Morton and M.J. Baines), Oxford University Press, (1995), 343-349.
|
[12]
|
C.I. Christov, Numerical investigation of the long-time evolution and interaction of localized waves, in "Fluid Physics, Proceedings of the Summer Schools'' (eds. M.G. Velarde, C.I. Christov), World Scientific, Singapore, (1995), 403-422.
|
[13]
|
C. I. Christov, G. Maugin, Numerics of some generalized models of lattice dynamics, in "Nonlinear Waves in Solids'', (eds. J. L. Wegner and F. R. Norwood), ASME Book No AMR 137, (1995), 374-379.
|
[14]
|
C. I. Christov, G. A. Maugin, An implicit difference scheme for the long-time evolution of localized solutions of a generalized Boussinesq system, J. Comp. Phys., 116 (1995), 39-51.
|
[15]
|
C. I. Christov, An energy-consistent dispersive shallow-water model, Wave Motion, 4(5) (2001), 161-174.
|
[16]
|
C. I. Christov, Solitary waves with Galilean invariance in dispersive shallow-water flows, in "Differential Equations and Nonlinear Mechanics'', (ed. K. Vajravelu), Kluwer (2001), 49-68.
|
[17]
|
Y. Liu, Instability of solitary waves for generalized Boussinesq equations, J. Dyn. Diff. Eq., 5(3) (1993), 537-558.
|
[18]
|
G. A. Maugin, C. I. Christov, Nonlinear waves and conservation laws (Nonlnear duality between elastic waves and quasi-particles), in "Topics in Nonlinear Wave Mechanics'', (eds. C. I. Christov & A. Guran), Birkhäuser, Boston (2002), 117-160.
|
[19]
|
A.C. Newel, "Solitons in Mathematics and Physics," SIAM, Philadelphia, 1985.
|