The long‐wave limit for the water wave problem I. The case of zero surface tension
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[1] Sijue Wu,et al. Well-posedness in Sobolev spaces of the full water wave problem in 3-D , 1999 .
[2] GUIDO SCHNEIDER,et al. The Long Wave Limit for a Boussinesq Equation , 1998, SIAM J. Appl. Math..
[3] R. D. Pierce,et al. On the validity of mean-field amplitude equations for counterpropagating wavetrains , 1994, patt-sol/9411002.
[4] G. Schneider. Error estimates for the Ginzburg-Landau approximation , 1994 .
[5] W. Eckhaus. The Ginzburg-Landau manifold is an attractor , 1993 .
[6] Thomas Y. Hou,et al. Growth rates for the linearized motion of fluid interfaces away from equilibrium , 1993 .
[7] A. van Harten,et al. On the validity of the Ginzburg-Landau equation , 1991 .
[8] F. Mattioli. Decomposition of the Boussinesq equations for shallow‐water waves into a set of coupled Korteweg–de Vries equations , 1991 .
[9] C. Kenig,et al. Well-posedness of the initial value problem for the Korteweg-de Vries equation , 1991 .
[10] Pierre Collet,et al. The time dependent amplitude equation for the Swift-Hohenberg problem , 1990 .
[11] Hideaki Yosihara,et al. Gravity Waves on the Free Surface of an Incompressible Perfect Fluid of Finite Depth , 1982 .
[12] J. Bona,et al. Model equations for long waves in nonlinear dispersive systems , 1972, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.
[13] J. Byatt-Smith,et al. An integral equation for unsteady surface waves and a comment on the Boussinesq equation , 1971, Journal of Fluid Mechanics.
[14] N. Zabusky,et al. Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States , 1965 .
[15] R. R. Long. The initial-value problem for long waves of finite amplitude , 1964, Journal of Fluid Mechanics.
[16] K. O. Friedrichs,et al. The existence of solitary waves , 1954 .
[17] D. Korteweg,et al. XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves , 1895 .
[18] Sijue Wu,et al. Well-posedness in Sobolev spaces of the full water wave problem in 2-D , 1997 .
[19] Zhangfang Liu,et al. Growth and Decay of Acceleration Waves in Incompressible Saturated Poroelastic Solids , 1996 .
[20] Guido Schneider,et al. The validity of modulation equations for extended systems with cubic nonlinearities , 1992, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[21] T. Nishida,et al. A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves , 1986 .
[22] Walter Craig,et al. An existence theory for water waves and the boussinesq and korteweg-devries scaling limits , 1985 .
[23] Hideaki Yosihara. Capillary-gravity waves for an incompressible ideal fluid , 1983 .
[24] W. Eckhaus. The Inverse Scattering Transformation and the Theory of Solitons: An Introduction , 1981 .
[25] Tosio Kato,et al. On the Korteweg-de Vries equation , 1979 .
[26] Tosio Kato,et al. Quasi-linear equations of evolution, with applications to partial differential equations , 1975 .