Large time existence for 3D water-waves and asymptotics

Stability of periodic waves of finite amplitude on the surface of a deep fluid

Journal of Applied Mechanics and Technical Physics · 1968 · 2.5K citations

Natural Sciences, Mathematics, Physics +14

A derivation of equations for wave propagation in water of variable depth

Anne Green, P. M. Naghdi · Journal of Fluid Mechanics · 1976 · 665 citations

Natural Sciences, Oceanography, Physics +14

On the Stability of Solitary Waves in Weakly Dispersing Media

B. B. Kadomtsev, V. I. Petviashvili · Soviet physics. Doklady · 1970 · 611 citations

Natural Sciences, Physics, Dynamical Systems +10

Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation

C. H. Su, Clifford S. Gardner · Journal of Mathematical Physics · 1969 · 551 citations

Natural Sciences, Mathematics, Physics +14

Well-posedness in Sobolev spaces of the full water wave problem in 3-D

Sijue Wu · Journal of the American Mathematical Society · 1999 · 503 citations · Full text

Natural Sciences, Oceanography, Physics +16