Ablowitz, M. J. & Segur, H.
1979
On the evolution of packets of water waves. J. Fluid Mech.
92, 691–715.

Akylas, T. R., Dias, F. & Grimshaw, R. H. J.
1998
The effect of the induced mean flow on solitary waves in deep water. J. Fluid Mech.
355, 317–328.

Benney, D. J. & Luke, J. C.
1964
On the interactions of permanent waves of finite amplitude. J. Math. Phys.
43, 309–313.

Berger, K. M. & Milewsky, P. A.
2000
The generation and evolution of lump solitary waves in surface-tension-dominated flows. SIAM J. Appl. Maths
61
(3), 731–750.

Besse, C., Mauser, N. J. & Stimming, H. P.
2004
Numerical study of the Davey–Stewartson system. ESIAM; Math. Model. Numer. Anal.
38
(6), 1035–1054.

Boiti, M., Leon, J. J.-P., Martina, L. & Pempinelli, F.
1988
Scattering of localized solitons in the plane. Phys. Lett. A
132
(8,9), 432–439.

Champagne, B. & Winternitz, P.
1988
On the infinite-dimensional symmetry group of the Davey–Stewartson equations. J. Math. Phys.
29
(1), 1–8.

Chen, X. J., Jensen, J. J., Cui, W. C. & Fu, S. X.
2003
Hydroelasticity of a floating plate in multidirectional waves. Ocean Engng
30
(15), 1997–2017.

Clarkson, P. A. & Hood, S.
1994
New symmetry reductions and exact solutions of the Davey–Stewartson system. I. Reductions to ordinary differential equations. J. Math. Phys.
35
(1), 255–283.

Davey, A. & Stewartson, K.
1974
On three-dimensional packets of surface waves. Proc. R. Soc. Lond. A
338
(1613), 101–110.

Djordjevic, V. D. & Redekopp, L. G.
1977
On two-dimensional packets of capillary-gravity waves. J. Fluid Mech.
79
(4), 703–714.

Duan, W.-S.
2003
Weakly two-dimensional modulated wave packet in dusty plasmas. Phys. Plasmas
10
(7), 3022–3055.

Fokas, A. S. & Santini, P. M.
1990
Dromions and a boundary value problem for the Davey–Stewartson 1 equation. Physica D
44
(1–2), 99–130.

Forbes, L. K.
1986
Surface waves of large amplitude beneath an elastic sheet. Part 1. High-order series solution. J. Fluid Mech.
169, 409–428.

Freeman, N. C. & Davey, A.
1975
On the evolution of packets of long surface waves. Proc. R. Soc. Lond. A
344
(1638), 427–433.

Gilson, C. R. & Nimmo, J. J. C.
1991
A direct method for dromion solutions of the Davey–Stewartson equations and their asymptotic properties. Proc. R. Soc. Lond. A
435
(1894), 339–357.

Groves, M. D. & Sun, S.-M.
2008
Fully localised solitary-wave solutions of the three-dimensional gravity-capillary water-wave problem. Arch. Rat. Mech. Anal.
188, 1–91.

Hayashi, N. & Hirata, H.
1996
Global existence and asymptotic behaviour in time of small solutions to the elliptic hyperbolic Davey Stewartson system. Nonlinearity
9
(6), 1387–1409.

Hietarinta, J.
1990
One-dromion solutions for genetic classes of equations. Phys. Lett. A
149
(2–3), 113–118.

Hietarinta, J. & Hirota, R.
1990
Multidromion solutions to the Davey–Stewartson equation. Phys. Lett. A
145
(5), 237–244.

Hogan, S. J.
1985
The fourth-order evolution equation for deep-water gravity-capillary waves. Proc. R. Soc. Lond. A
402
(1823), 359–372.

Hǎrǎguş-Courcelle, M. & Il’ichev, A.
1998
Three-dimensional solitary waves in the presence of additional surface effects. Eur. J. Mech. (B *Fluids*)
17
(5), 739–768.

Hizel, E., Turgay, N. C. & Guldogan, B.
2009
The symmetry reductions and new exact solutions of the generalized Davey–Stewartson equation. Intl J. Contemp. Math. Sci.
4
(18), 883–894.

Johnson, R. S.
1997
A Modern Introduction to the Mathematical Theory of Water Waves. Cambridge University Press.

Kadomtsev, B. B. & Petviashvili, V. I.
1970
On the stability of solitary waves in weakly dispersive media. Sov. Phys. Dokl.
15
(6), 539–541.

Kim, B. & Akylas, T. R.
2005
On gravity capillary lumps. J. Fluid Mech.
540, 337–351.

Korobkin, A., Parau, E. I. & Vanden-Broeck, J.-M.
2011
The mathematical challenges and modelling of hydroelasticity. Proc. R. Soc. Lond. A
369
(1947), 2803–2812.

Kuznetsov, E. A., Rubenchik, A. M. & Zakharov, V. E.
1986
Soliton stability in plasmas and hydrodynamics. Phys. Rep.
142
(3), 103–165.

Leblond, H.
1999
Electromagnetic waves in ferromagnets: a Davey–Stewartson-type model. J. Phys. A
32
(45), 7907–7932.

Leblond, H.
2001
The Davey–Stewartson model in quadratic media: a way to control pulses. Soliton-driven Photonics
31
(4), 215–218.

Liu, A. K. & Mollo-Christensen, E.
1988
Wave propagation in a solid ice pack. J. Phys. Oceanogr.
18
(11), 1702–1712.

Marko, J. R.
2003
Observations and analyses of an intense waves-in-ice event in the Sea of Okhotsk. J. Geophys. Res.
108
(C9, 3296).

Miles, J & Sneyd, A. D.
2003
The response of a floating ice sheet to an accelerating line load. J. Fluid Mech.
497, 435–439.

Milewski, P. A., Vanden-Broeck, J.-M. & Wang, Z.
2011
Hydroelastic solitary waves in deep water. J. Fluid Mech.
679, 628–640.

Nishinari, K. & Yajima, T.
1994
Numerical studies on stability of Dromion and its collisions. J. Phys. Soc. Japan
63
(10), 3538–3541.

Osborne, A. R.
2009
Nonlinear Ocean Waves and the Inverse Scattering Transform. Academic.

Parau, E. I. & Vanden-Broeck, J.-M.
2011
Three-dimensional waves beneath an ice sheet due to a steadily moving pressure. Proc. R. Soc. Lond. A
369
(1947), 2973–2988.

Radha, R. & Lakshmanan, M.
1994
Singularity analysis equations and localized coherent structures in
dimensional generalized Korteweg-de Vries. J. Math. Phys.
35
(9), 4746–4756.

Schultz, C. L., Ablowitz, M. J. & Bar Yaacov, D.
1987
Davey–Stewartson I system: a quantum
-dimensional integrable system. Phys. Rev. Lett.
59
(25), 2825–2828.

Strathdee, J., Robinson, W. H. & Haines, E. M.
1991
Moving loads on ice plates of finite thickness. J. Fluid Mech.
226, 37–61.

Suzuki, H.
2005
Overview of megafloat: concept, design criteria, analysis, and design. Mar. Struct.
18
(2), 111–132.

White, P. W. & Weideman, J. A. C.
1994
Numerical simulation of solitons and dromions in the Davey–Stewartson system. Math. Comput. Simul.
37
(4–5), 469–479.