A stability analysis of fifth-order water wave models
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[1] W. D. Evans,et al. PARTIAL DIFFERENTIAL EQUATIONS , 1941 .
[2] P. Lax. INTEGRALS OF NONLINEAR EQUATIONS OF EVOLUTION AND SOLITARY WAVES. , 1968 .
[3] J. Bona. On the stability theory of solitary waves , 1975, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[4] Tosio Kato,et al. Quasi-linear equations of evolution, with applications to partial differential equations , 1975 .
[5] D. J. Benney. A General Theory for Interactions Between Short and Long Waves , 1977 .
[6] Tosio Kato,et al. On the Korteweg-de Vries equation , 1979 .
[7] P. Lions,et al. Orbital stability of standing waves for some nonlinear Schrödinger equations , 1982 .
[8] J. Shatah. Stable standing waves of nonlinear Klein-Gordon equations , 1983 .
[9] P. Lions. The concentration-compactness principle in the Calculus of Variations , 1984 .
[10] P. Lions. The concentration-compactness principle in the calculus of variations. The locally compact case, part 1 , 1984 .
[11] Peter J. Olver,et al. Hamiltonian and non-Hamiltonian models for water waves , 1984 .
[12] J. Shatah,et al. Instability of nonlinear bound states , 1985 .
[13] M. Weinstein. Lyapunov stability of ground states of nonlinear dispersive evolution equations , 1986 .
[14] J. Bona,et al. Sufficient conditions for stability of solitary-wave solutions of model equations for long waves , 1987 .
[15] M. Weinstein. Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation , 1987 .
[16] P. Souganidis,et al. Stability and instability of solitary waves of Korteweg-de Vries type , 1987, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[17] J. A. Zufiria. Symmetry breaking in periodic and solitary gravity-capillary waves on water of finite depth , 1987, Journal of Fluid Mechanics.
[18] John K. Hunter,et al. Existence of perturbed solitary wave solutions to a model equation for water waves , 1988 .
[19] Klaus Kirchgässner,et al. A theory of solitary water-waves in the presence of surface tension , 1989 .
[20] P. Souganidis,et al. Instability of a class of dispersive solitary waves , 1990, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[21] J. Shatah,et al. Stability theory of solitary waves in the presence of symmetry, II☆ , 1990 .
[22] W. Walter,et al. Travelling waves in a suspension bridge , 1990 .
[23] J. F. Toland,et al. Homoclinic orbits in the dynamic phase-space analogy of an elastic strut , 1992, European Journal of Applied Mathematics.
[24] P. Olver,et al. Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations , 1992 .
[25] G. Ponce. Lax Pairs and Higher Order Models for Water Waves , 1993 .
[26] Walter Craig,et al. Hamiltonian long-wave approximations to the water-wave problem , 1994 .
[27] J. Toland,et al. A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers , 1996, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[28] Satyanad Kichenassamy. Existence of solitary waves for water-wave models , 1997 .
[29] Yue Liu,et al. Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation , 1997 .
[30] Alan R. Champneys,et al. A global investigation of solitary-wave solutions to a two-parameter model for water waves , 1997, Journal of Fluid Mechanics.
[31] Bjorn Sandstede. Instability of localized buckling modes in a one-dimensional strut model , 1997, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[32] S. Levandosky. Stability and Instability of Fourth-Order Solitary Waves , 1998 .